Welcome to CCF.
The term binary number became popular with the advent of computers. A binary number to programmers is 1 & 0. The term binary, by itself, means something having two parts. Binary notes always look cooler when both numbers are all grouped together or repeat themselves. I'm liking that it's a 2006 $5 HG-B note...the lowest printed block for the series with only 12.8M printed. The OP's note serial number doesn't have a cool nickname associated with it aside from binary. Collect what you like is my motto. Collect because you think it's cool or interesting or because you like the challenge. It doesn't have to have a nickname to like it. How much are they asking for the note @Heating81 ?