101122200021100 has 72 divisors (see below), whose sum is σ = 220544537024000. Its totient is φ = 40244401454400.

The previous prime is 101122200021077. The next prime is 101122200021107. The reversal of 101122200021100 is 1120002221101.

It is not an unprimeable number, because it can be changed into a prime (101122200021107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956719255 + ... + 956824945.

Almost surely, 2^{101122200021100} is an apocalyptic number.

101122200021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122200021100 is an abundant number, since it is smaller than the sum of its proper divisors (119422337002900).

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

101122200021100 is a wasteful number, since it uses less digits than its factorization.

101122200021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153983 (or 153976 counting only the distinct ones).

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

Adding to 101122200021100 its reverse (1120002221101), we get a palindrome (102242202242201).

The spelling of 101122200021100 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred million, twenty-one thousand, one hundred".