e.g. it doesn't make sense to support billing in sub-currency unit amounts just by allowing it in your API definition, as you're going to need to batch that until you get a billable amount which is larger than the fee for issuing a bill. Even for something like $100,000.1234, the bank doesn't let you do a transfer for 0.34c.
For cases where sub-currency unit billing is a thing, it should be agreed what the minimal unit is (e.g. advertising has largely standardised on millicents)
https://en.wikipedia.org/wiki/ISO_4217
Or choose a different standard, I don’t know what else is out there, but you probably should choose an existing one.
If you're doing ads and going for millicents, something like $0.01234 should be encoded as 1234 millicents.
Obviously you have to agree on what you're measuring in the API, you can't have some values be millicents and others cents.
If you just store cents you can't represent them. You either have to guess at the beginning the smallest unit or store the precision along with it.
Just use strings, it's much simpler.