101122020100100 has 72 divisors (see below), whose sum is σ = 220172243157888. Its totient is φ = 40313088547200.

The previous prime is 101122020100019. The next prime is 101122020100177. The reversal of 101122020100100 is 1001020221101.

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, 35808389 + ... + 38529011.

Almost surely, 2^{101122020100100} is an apocalyptic number.

101122020100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122020100100 is an abundant number, since it is smaller than the sum of its proper divisors (119050223057788).

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

101122020100100 is a wasteful number, since it uses less digits than its factorization.

101122020100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721885 (or 2721878 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101122020100100 its reverse (1001020221101), we get a palindrome (102123040321201).

The spelling of 101122020100100 in words is "one hundred one trillion, one hundred twenty-two billion, twenty million, one hundred thousand, one hundred".