Is every bitcoin the same? Can a person have multiple wallets for different types of bitcoin and use them interchangeably?

Mathematically, every bitcoin is identical. Yet newly mined "virgin" bitcoins actually trade at a premium because they lack a permanent, traceable history.

Unlike a physical dollar bill, which changes hands anonymously, Bitcoin operates on a transparent public ledger. Every fraction of a bitcoin—technically called an Unspent Transaction Output (UTXO)—carries a permanent, traceable record of every address it has ever passed through.