What is DNA, really? It's coded proteins. It determines our eye color, hair color, skin pigment, possibly our MBTI disposition, probability for certain diseases, and more. Then there are epigenetics. I once heard a man who was over 100 years old state that if you live healthy, and have a good attitude, you create the genetics of health, happiness, and longevity to pass down to your children, and in addition, you live a long, happy life. Basically, he was referring to epigenetics. There are certain health conditions, for example, that run through family generations, but some people develop these issues later in life, while others don't. In some of these cases, people who had the genetic propensity to develop certain health conditions didn't, because they changed their epigentics to turn off those genes. Thus, they now pass those genes down to their children in a turned off state.
Should their children deviate from a healthy lifestyle, and launch themselves into hedonism, they run the risk of epigeneticaly turning those sick genes back on, and passing those on to their progeny.
In Genesis 6:1-4, 2 Peter 2:4-5, and Jude 1:6 we read about the fallen angels that mated with earth women, creating giants - Nephilim - half genetically human, and half devil/fallen angel/demon:
"And it came to pass, when men began to multiply on the face of the earth, and daughters were born unto them, That the sons of God saw the daughters of men that they were fair; and they took them wives of all which they chose. And the Lord said, My spirit shall not always strive with man, for that he also is flesh: yet his days shall be an hundred and twenty years. There were giants in the earth in those days; and also after that, when the sons of God came in unto the daughters of men, and they bare children to them, the same became mighty men which were of old, men of renown." -Genesis 6:1-4
"For if God spared not the angels that sinned, but cast them down to hell, and delivered them into chains of darkness, to be reserved unto judgment; And spared not the old world, but saved Noah the eighth person, a preacher of righteousness, bringing in the flood upon the world of the ungodly" -2 Peter 2:4-5
"And the angels which kept not their first estate, but left their own habitation, he hath reserved in everlasting chains under darkness unto the judgment of the great day." -Jude 1:6
Not all the fallen angels mated with earth women. I believe only some chose to do so, and as we read in the above scriptures, those specific infiltrators are currently imprisoned (in the second compartment of hell - Outer Darkness, or the Pit) until the day of judgment.
Some would argue that fallen angels could not have created children with earth women, because angels are spirits. There are different classes of angels in the Bible. For example, Satan wasn't your run of the mill angel that looks like a man, like Michael seems to be, and the angels that appeared to people throughout several instances in the Scriptures appear to be. Satan was a Cherub. The plural of Cherub is Cherubim, and you can read a great description of what these majestic angelic creatures look like in Ezekiel chapter 1, as well as the four beasts that surround God's throne as described in Revelation.
As a side note - let's look quickly at the five pointed star - the pentagram. The pentagram in the pointing up position can represent the four covering Cherubim, including Satan before he fell, making five:
"And before the throne there was a sea of glass like unto crystal: and in the midst of the throne, and round about the throne, were four beasts {Zoa/Cherubim} full of eyes before and behind." -Revelation 4:6
"Thou art the anointed cherub that covereth; and I have set thee so: thou wast upon the holy mountain of God; thou hast walked up and down in the midst of the stones of fire. -Ezekiel 28:14
Here we see we still have the four covering cherubim, covering the throne of God, as per Revelation 4:6, and before the fall, Satan also covered. Being the anointed cherub that covers likely indicates that Satan was above, or the top of the five. Looking at the five cherubim from a distance, they could have been in an upward pointing pentagram star formation, with Satan being the top point of the star.
The upside down pentagram therefore symbolizes the five covering cherubim after the fall. Satan is now the bottom point of the star, cast from the throne of God, no longer covering it:
"Thou wast perfect in thy ways from the day that thou wast created, till iniquity was found in thee. By the multitude of thy merchandise they have filled the midst of thee with violence, and thou hast sinned: therefore I will cast thee as profane out of the mountain of God: and I will destroy thee, O covering cherub, from the midst of the stones of fire. Thine heart was lifted up because of thy beauty, thou hast corrupted thy wisdom by reason of thy brightness: I will cast thee to the ground, I will lay thee before kings, that they may behold thee." -Ezekiel 28:15-17
Satan laid before kings:
"For we wrestle not against flesh and blood, but against principalities, against powers, against the rulers of the darkness of this world, against spiritual wickedness in high places." -Ephesians 6:12
For more on these principalities, and how Satan rules his current fallen kingdom, the kingdom of the upside down pentagram, see my article Kingdom Dynamics
Those four beasts that still surround the throne of God in the Greek are Zoa, and in the Hebrew, Cherubim. I believe cherubim didn't mate with the earth women - perhaps the DNA was too far off. Yes, I said DNA.
The seed of the serpent (see Genesis 3:15) is shown in two ways in the Scriptures.
Seed of the Serpent (Satan):
"And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel." -Genesis 3:15
There are those who are of their father the devil, as mentioned in John 8 - because they do the deeds of Satan, not because of any genetic predisposition:
"Jesus said unto them, If God were your Father, ye would love me: for I proceeded forth and came from God; neither came I of myself, but he sent me. Why do ye not understand my speech? even because ye cannot hear my word. Ye are of your father the devil, and the lusts of your father ye will do. He was a murderer from the beginning, and abode not in the truth, because there is no truth in him. When he speaketh a lie, he speaketh of his own: for he is a liar, and the father of it." -John 8:42-44
Then there are the Sons of Perdition. A Son of Perdition is one who becomes possessed by the devil. We read in the Bible of Judas Iscariot being a Son of Perdition, because Satan 'entered into him...'
"Then entered Satan into Judas surnamed Iscariot, being of the number of the twelve." -Luke 22:3
"While I was with them in the world, I kept them in thy name: those that thou gavest me I have kept, and none of them is lost, but the son of perdition; that the scripture might be fulfilled." -John 17:12
We read about antichrist also being a Son of Perdition. Satan enters antichrist around the middle of the tribulation, as per 2 Thessalonians 2, and Revelation 12, etc.
"Let no man deceive you by any means: for that day shall not come, except there come a falling away first, and that man of sin be revealed, the son of perdition; Who opposeth and exalteth himself above all that is called God, or that is worshipped; so that he as God sitteth in the temple of God, shewing himself that he is God." -2 Thessalonians 2:3-4
"And the great dragon was cast out, that old serpent, called the Devil, and Satan, which deceiveth the whole world: he was cast out into the earth, and his angels were cast out with him." -Revelation 12:9
"And I saw one of his heads as it were wounded to death; and his deadly wound was healed: and all the world wondered after the beast. And they worshipped the dragon which gave power unto the beast: and they worshipped the beast, saying, Who is like unto the beast? who is able to make war with him?" -Revelation 13:3-4
The fallen angels that mated with the earth women probably looked quite human when in their corporeal form. Angels seem to be able to be in non-corporeal or spirit form when they appear and disappear, for example. In corporeal form, this class of angels can look just like another human being. Thus why we have the following:
"Be not forgetful to entertain strangers: for thereby some have entertained angels unawares." -Hebrews 13:2
Now we get to the DNA of angels:
In the world of physics, we learn that energy can be converted to mass, and mass to energy. You could call this the Mass-Energy Equivalence. Now enters Einstein's famous E=MC². In other words, Mass (M) multiplied by the speed of light (C) squared (²), equals (=) Energy (E). A being in a spirit form is energy. A spirit itself is energy. Our spirits are sentient energy - us. When a spirit, such as an angel, takes corporeal form, it becomes mass. This is a trans-dimensional quality, if you will. Therefore, is it so very far-fetched to consider that these men-like angels, in corporeal form contain protein DNA, of which DNA is converted to energy, when they are in their spirit form? After all - what's the source of coding for the spirit and its inherent qualities? What makes one spirit different from another spirit? Wouldn't it be programing in the energy, which can convert to the proteins of deoxyribonucleic acid, which is DNA?