bank note vs banker's bill

bank note and banker's bill both are nouns.

Word	Noun	Adjective	Verb	Adverb
bank note	Yes	No	No	No
banker's bill	Yes	No	No	No

As nouns, bank note and banker's bill are synonyms defined as:

bank note and banker's bill: a piece of paper money (especially one issued by a central bank)

Other synonyms of bank note include bank bill, banknote, bill, Federal Reserve note, government note, greenback, note.

bank note (noun)	banker's bill (noun)
a piece of paper money (especially one issued by a central bank)	a piece of paper money (especially one issued by a central bank)