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.