Probably might not happen.. but if it happens might take over 100 years or another 2 world war..
of course, will never happen. Imagine how easy it is to earn $ 1 when 1 satoshi worth $ 1. I thought this would never happen. despite the war going on though dollar was the strongest currency so it is unlikely the dollar will be worth very cheap
If a satoshi was equivalent to 1 dollar you can bet that obtaining a satoshi will not be as easy as it is today, you can earn a few hundreds of satoshis through faucets, but if satoshi was worth a dollar and faucets still existed by that time you can be sure you will need to claim hundreds of time from the faucet just to get 1 satoshi.
That is right at that time none of the faucet will give a satoshi with just one claim as it will be worth higher than a claim. At that time there will be a need of further sub division of satoshi so that to maintain the regulation of it in the market. As then no one will be able to buy cheap things with bitcoin payment.