101012012012200 has 48 divisors (see below), whose sum is σ = 234856768321980. Its totient is φ = 40404144092160.

The previous prime is 101012012012081. The next prime is 101012012012237. The reversal of 101012012012200 is 2210210210101.

It can be written as a sum of positive squares in 6 ways, for example, as 7855811163684 + 93156200848516 = 2802822^2 + 9651746^2 .

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, 8223952 + ... + 16421248.

Almost surely, 2^{101012012012200} is an apocalyptic number.

101012012012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012012012200 is an abundant number, since it is smaller than the sum of its proper divisors (133844756309780).

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

101012012012200 is a wasteful number, since it uses less digits than its factorization.

101012012012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258926 (or 8258917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101012012012200 its reverse (2210210210101), we get a palindrome (103222222222301).

The spelling of 101012012012200 in words is "one hundred one trillion, twelve billion, twelve million, twelve thousand, two hundred".