Good day Utah,
I believe that even unbelievers still have some part of God in them that they don't realize. And when they are judged at the great white throne judgment and the final separation takes place, I believe that they will experience something unexpected, i.e. the complete absence of God from their being. I don't think that is something that we can even fathom. It will be an emptiness that cannot be described.
Though I believe that complete separation from God will be the worst part of condemning judgment, in addition to this, the torment of eternal fire in a resurrected body that cannot be burned up or annihilated will needless to say, not be endurable.
To be burned up as soon as one hits the fire would be no punishment at all. People commit suicide for that very purpose, thinking that as soon as they kill themselves, they fade to black, becoming non-existent. Needless to say, once they've accomplished this, they realize that they have made a great error in assuming this, as they find that though their body is dead, their spirit/soul continues on, either in the presence of Christ or in Hades in torment in flame, just like the rich man.