102112020122100 has 72 divisors (see below), whose sum is σ = 295728466750080. Its totient is φ = 27203664180480.

The previous prime is 102112020122087. The next prime is 102112020122113. The reversal of 102112020122100 is 1221020211201.

It is an interprime number because it is at equal distance from previous prime (102112020122087) and next prime (102112020122113).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102112020122100.

It is a congruent number.

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, 163486857 + ... + 164110256.

Almost surely, 2^{102112020122100} is an apocalyptic number.

102112020122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112020122100 is an abundant number, since it is smaller than the sum of its proper divisors (193616446627980).

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

102112020122100 is a wasteful number, since it uses less digits than its factorization.

102112020122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327598169 (or 327598162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102112020122100 its reverse (1221020211201), we get a palindrome (103333040333301).

The spelling of 102112020122100 in words is "one hundred two trillion, one hundred twelve billion, twenty million, one hundred twenty-two thousand, one hundred".