I cannot rule out the possibility of paper money to dissappear but it will take more than a century. Most digital currencies including Bitcoin are still in the middle stage and therefore cannot make paper money to dissappear so quickly.
You don't have to rely on Bitcoin to kill off paper money though. Digital fiat will be the end of paper currency long before bitcoin will. Digital fiat already dominated the US economy. Far more value is exchanged digitally than physically, perhaps even more absolute transactions as well.
i think currency bitcoin do not have the power to kill paper money, i think still paper money is the need of all the people of the world, even those people who are using bitcoin for online as well as for offline purposes, but may be in future when the uses of bitcoin will become so common that every person will start using bitcoin, then may be bitcoin overcome paper money and people stop using paper money at all.
Paper money is used in almost all the world. I have no doubt in saying that bitcoin can never overcome the paper money. We still have a long way to go, to see whether the bitcoin is to beat any other currency or not. The uses of paper money and bitcoin may be the same but there is a huge difference in the characteristics of both of them. A paper money is something which is used without any use of other technology, directly on the spot.