102011112112100 has 36 divisors (see below), whose sum is σ = 221365975712448. Its totient is φ = 40804101540000.

The previous prime is 102011112112061. The next prime is 102011112112109. The reversal of 102011112112100 is 1211211110201.

It is not an unprimeable number, because it can be changed into a prime (102011112112109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7824065 + ... + 16286135.

Almost surely, 2^{102011112112100} is an apocalyptic number.

102011112112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011112112100 is an abundant number, since it is smaller than the sum of its proper divisors (119354863600348).

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

102011112112100 is a wasteful number, since it uses less digits than its factorization.

102011112112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582636 (or 8582629 counting only the distinct ones).

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

Adding to 102011112112100 its reverse (1211211110201), we get a palindrome (103222323222301).

The spelling of 102011112112100 in words is "one hundred two trillion, eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred".