10100210112200 has 96 divisors (see below), whose sum is σ = 26776982491560. Its totient is φ = 3509937254400.

The previous prime is 10100210112199. The next prime is 10100210112247. The reversal of 10100210112200 is 221101200101.

It can be written as a sum of positive squares in 12 ways, for example, as 110552260036 + 9989657852164 = 332494^2 + 3160642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114211571 + ... + 114299970.

Almost surely, 2^{10100210112200} is an apocalyptic number.

10100210112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100210112200 is an abundant number, since it is smaller than the sum of its proper divisors (16676772379360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100210112200 is a wasteful number, since it uses less digits than its factorization.

10100210112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228511587 (or 228511578 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100210112200 its reverse (221101200101), we get a palindrome (10321311312301).

The spelling of 10100210112200 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred twelve thousand, two hundred".