Rev. 20:10 talks specifically about Satan, the anti-Christ and the false prophet, it isn’t talking about those lost souls that were in Hell. It does appear that those three entities are tortured forever. Why? Maybe because they are made of different stuff??? I don’t know.
What I do know is that the second death refers specifically to the unsaved souls. If the eternal torment idea was correct then “second death” makes no sense because nothing would be dying.
Plus you still have the issue that in order to be tortured for ever, you would have to be alive for ever and in order to be alive forever, you would need to be immortal and the Bible tells us that only those who accept Christ as savior take on His immortality.
Hades, colloquially referenced as hell, was the Greek name for the location of the underworld or the realm of the dead.
Sheol refers to a place of the soul.
4 compartments are spoken of in Scripture regarding Hades/Sheol.
1)Abraham’s Bosom, also known as Paradise, as the location where all Old Testament believers went after the first death. (They later are recorded in Acts as ascending in the same period as Christ)
2) The Torments, where human unbelievers were sent.
3) Tartarus, prison for the fallen angels of Gen6, 1Pet 3, Jud6.
4) The Abyss, location of criminal angel imprisonment until the Great Tribulation.
The Lake of Fire is a different location than these above. It is the final destination of those after the Great White Throne Judgment for unbelievers, not to be confused with the bema seat judgment for Church Age believers.