100102122011200 has 84 divisors (see below), whose sum is σ = 257023079023680. Its totient is φ = 38299942320640.

The previous prime is 100102122011191. The next prime is 100102122011251. The reversal of 100102122011200 is 2110221201001.

It is a super-2 number, since 2×100102122011200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1360046380 + ... + 1360119979.

Almost surely, 2^{100102122011200} is an apocalyptic number.

100102122011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102122011200 is an abundant number, since it is smaller than the sum of its proper divisors (156920957012480).

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

100102122011200 is a wasteful number, since it uses less digits than its factorization.

100102122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720166404 (or 2720166389 counting only the distinct ones).

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

Adding to 100102122011200 its reverse (2110221201001), we get a palindrome (102212343212201).

The spelling of 100102122011200 in words is "one hundred trillion, one hundred two billion, one hundred twenty-two million, eleven thousand, two hundred".