+1 for 1 million bits in a coin. I feel like that would be perfect when 1 btc is in the ballpark of $10k, therefore a bit is in the ballpark of a cent. Its still workable now but its also looking forward to the future. With a 10k valuation, prices for things won't need decimal points, they'd look like dollar prices do today except without the dot which I think is very intuitive. Bits is easy to say and intuitively derives from bitcoin.

Too many names for things is confusing, especially when they can be confused with each other like milli and microbits. Now we'll have bitcoins for large sums, bits for small sums, and satoshis for the technically inclined (laymen need not worry about this term).

Bits also work if bitcoin ever reaches a valuation of a million $ each, then bits are equivalent to dollars and prices can reintroduce two numbers after a decimal point like we use now.