$11m per BTC is hugely optimistic for between 2040 and 2100. I really cannot see it going beyond high 5 figures or low end 6 figures in that time frame.
Bitcoin is a very good idea, but the world is not going to throw all of its eggs into one basket.
The singularity will have happened by this point and bitcoin will be the absolute least of our concerns. We will be living in cages being tube fed by machines and will have no use for currency whatsoever. Well maybe not by 2040, but certainly by 2100 if we haven't killed each other off yet. I'll be dead so I could care less.