The Satoshi is a stupid unit. Make them all nano in that range. There's no need to break up the standard greek prefixes.
I was thinking why start with 3 decimal places? Most, if not all, currencies go to the 2nd decimal place, which represents 1/100th of the whole. The idea of 1/1,000th is foreign to everyday people/cultures.
I propose the following schema, which takes care of the Satoshi breaking the pattern.
9.876543219 BTC
87 centibits
654 microbits
321 satoshibits