10100133211200 has 84 divisors (see below), whose sum is σ = 33136853726160. Its totient is φ = 2693368855040.

The previous prime is 10100133211199. The next prime is 10100133211303. The reversal of 10100133211200 is 211233100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10100133211200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1052092410 + ... + 1052102009.

Almost surely, 2^{10100133211200} is an apocalyptic number.

10100133211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100133211200 is an abundant number, since it is smaller than the sum of its proper divisors (23036720514960).

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

10100133211200 is a wasteful number, since it uses less digits than its factorization.

10100133211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104194444 (or 2104194429 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10100133211200 its reverse (211233100101), we get a palindrome (10311366311301).

The spelling of 10100133211200 in words is "ten trillion, one hundred billion, one hundred thirty-three million, two hundred eleven thousand, two hundred".