Two Digits
From 10 to 99 — the ten-thousand-to-one two-digit club.
The numbers 10 through 99, exactly 90 of them. Odds of about 1 in 11,111 — nine times more common than single digits, still one in ten thousand.
Your record
The two-digit club has exactly 90 members, 0.009% of the range. For scale: there are 900 three-digit numbers and 900,000 six-digit ones — each extra digit multiplies the population by ten and shrinks the rarity in step. Digit count is the most intuitive rarity gauge there is.
The club has a VIP room inside: 11, 22, 33…99 — nine numbers that are both two-digit and repdigits (hence palindromes too). And meme numbers 13, 42, 69 and 88 also live here, stacking rarity on meme for an even higher score.
On the scoreboard, two-digit (269 base EP) sits 63 points below single-digit (332 EP) — that gap is the price of one extra digit. Before the entropy formula, all digits are equal, and every digit has its price.