10101331021200 has 120 divisors (see below), whose sum is σ = 32500477196448. Its totient is φ = 2681821731840.

The previous prime is 10101331021153. The next prime is 10101331021213. The reversal of 10101331021200 is 212013310101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 10101331021200.

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, 18268957 + ... + 18813756.

Almost surely, 2^{10101331021200} is an apocalyptic number.

10101331021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101331021200 is an abundant number, since it is smaller than the sum of its proper divisors (22399146175248).

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

10101331021200 is a wasteful number, since it uses less digits than its factorization.

10101331021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37082961 (or 37082950 counting only the distinct ones).

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

Adding to 10101331021200 its reverse (212013310101), we get a palindrome (10313344331301).

The spelling of 10101331021200 in words is "ten trillion, one hundred one billion, three hundred thirty-one million, twenty-one thousand, two hundred".