101012111121200 has 30 divisors (see below), whose sum is σ = 242681596969644. Its totient is φ = 40404844448320.

The previous prime is 101012111121197. The next prime is 101012111121209. The reversal of 101012111121200 is 2121111210101.

It is not an unprimeable number, because it can be changed into a prime (101012111121209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126265138502 + ... + 126265139301.

Almost surely, 2^{101012111121200} is an apocalyptic number.

101012111121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012111121200 is an abundant number, since it is smaller than the sum of its proper divisors (141669485848444).

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

101012111121200 is a wasteful number, since it uses less digits than its factorization.

101012111121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252530277821 (or 252530277810 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101012111121200 its reverse (2121111210101), we get a palindrome (103133222331301).

The spelling of 101012111121200 in words is "one hundred one trillion, twelve billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".