That only seems odd because it's a flawed intuition pump: a "number" feels like a small, innocent, abstract and singular thing, while "data" feels large and com

That only seems odd because it's a flawed intuition pump: a "number" feels like a small, innocent, abstract and singular thing, while "data" feels large and complex and rich with potential. But a "number" can be any size. A dump of Wikipedia is a "number". All information, and hence all secrets, are "numbers". The notion of an "illegal number" is just a weird way of phrasing the idea of government-enforced secrecy. 128 bits is about the threshold where a "number" stops behaving like our intuition of a number, and starts being rare enough that you won't arrive at an "illegal" number by counting or chance, i.e. it is now a "file" for all practical purposes: https://qntm.org/number https://qntm.org/number