There is a very strange and somewhat limited market for "fancy" serial numbered bills. Yours wouldn't be a binary note as it contains twos. The collectible number that's key is the 12345678 and lesser, the 23456789. Only 1 of each comes up in a 96,000,000 note production run. I do have a "descending step ladder" note (43332111) that I keep, but it's really just a spender and I have one radar note.
The first US coin motto was found on a 1792 half disme and read: "LIB (erty) PAR (ent) OF SCIENCE & INDUSTRY"