Wonder if that helped the Pirelli building?
Though it was only 25 storeys or so, it was made from concrete. Tallest concrete buildilng in the world, apparently. I don't know if >100 floors of concrete would be suitable, somehow.
Another option would be to go down, not up. Which has its limitations, of course. Unless you actually *want* a nice swimming pool of (insert Doctor Evil voice here) liquid hot Magma...
On and on and on and on,
and on and on and on goes John.