I doubt it would stay there for even the next few decades. As crazy as it sounds, I imagine at some point it would become cheap enough to launch into space or in to the sun. I mean, it wouldn't make economic sense. But at some point it would be worth the cost if only so that we don't have to listen to the irrational and ignorant braying of the so called 'green movement'.

They're like the kids in high school who decided they were avowed communists, except now all grown up.

Who says we won't figure out how to reprocess it and safely burn the fissile waste in the next centuries? :)

Geological objects of no worth to anyone tend to stay where they are for long, long, times.