I beileve nothing will happen. It's the kinda of nothing you can't really explain. It's none exsistence. The state of no being anymore. You won't know it has happened and would never really know at all.
That's just me though. What I think would be cool though is when you die you could pick what happens next. Like playing a game, you set some random stuff like the location, year you were born, what your parents look like, throw some stats here and there. Or just click random on everything, then away you go on some little hardcore mode game. Just one life to live then the world is deleted and you try again. Kinda like minecraft.