102101122120100 has 18 divisors (see below), whose sum is σ = 221559435000834. Its totient is φ = 40840448848000.

The previous prime is 102101122120087. The next prime is 102101122120111. The reversal of 102101122120100 is 1021221101201.

It can be written as a sum of positive squares in 3 ways, for example, as 9594890343844 + 92506231776256 = 3097562^2 + 9618016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510505610501 + ... + 510505610700.

Almost surely, 2^{102101122120100} is an apocalyptic number.

102101122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101122120100 is an abundant number, since it is smaller than the sum of its proper divisors (119458312880734).

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

102101122120100 is a wasteful number, since it uses less digits than its factorization.

102101122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021011221215 (or 1021011221208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102101122120100 its reverse (1021221101201), we get a palindrome (103122343221301).

The spelling of 102101122120100 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".