The money used in a country — euros, dollars, yen, etc. — is its currency. Money in notes (banknotes ) and coins are called cash.
Most money, however, consists of bank deposits: money that people and organizations have in bank accounts.
Most of this is on paper — existing in theory only — and only about ten percent of it exists in the form of cash in the bank.
BrE: note or banknote
AmE: bill