Cash will be never extinct while people use. I think after 100 years it would be possible but now not. Bitcoin is still weak it needs to grow to 50k at least.
So people will know that its strong and that its not a weak scam coin.
100 years may not really still be possible. Definitely, it could be possible in some places with no demand for cash and with access to technology but would definitely be slower in some places with lower infrastructure since you will have to pretty much be online to transact without cash.
So, all this put into place would make it not go into extinction anytime soon and even longer than 100 years in some countries.
Don't underestimate human progress. It keeps accelerating at incredible paces. It took less than two decades to go from wired overpriced phones and no internet to smart phones with high speed internet in almost every pocket. These smart phones are stronger than the super computers used to fly to the moon too!
And with human level AI on the horizon it progress will speed up even more once that breakthrough occurs, which only hinges on more computing power - which we will see in the next decades.
Money might be a thing of the past entirely in the next century the way things are progressing right now.