In the context of God talking to Satan, Genesis 3:15 states:"And I shall put enmity between you and the woman and between YOUR SEED and her seed", and John 8:44, when Jesus was talking to the religious leaders back then: "YOU are from YOUR father the Devil, and YOU wish to do the desires of YOUR father. That one was a manslayer when he began, and he did not stand fast in the truth". Does this answer your question?
Satan is a fallen angel from the kingdom of heaven. In a literal snese none because he is supernatural and cannot bare children, but spiritualy probably billions, all of the "sinners" of the world.
*I do not personaly believe in all of this but it's right im sure...i come from a very religous family.
The Bible does not say anything about children of Satan and yes, like Katie says, he's a fallen angel and therefore not the "child bearing" type but he does have many names and demons that worship him and carry out his every wish!!
He's got demons. They're like his helpers, but I'm sure the devil himself would consider them like children (not saying that he would treat them like children).
Great question, indeed... Thinking of number of them following the number of people....Hhhmmm... I am afraid to tell but are they born when babies are born?
lets put it this all satanist believe to be satans children:D