Impossible Bitcoin will never be worthless the real question you should be asking is wether Fiat currencies will be worthless
That's wrong my friend, if fiat goes worthless automatically bitcoin will also go worthless, because till date we're calculating the value of bitcoin in terms of USD or with the currencies of respective countries. When we start to use mention bitcoin in terms of satoshi you can say fiat will go worthless same as that few country currencies that were stopped from usage.