102002112122100 has 72 divisors (see below), whose sum is σ = 295766298266208. Its totient is φ = 27141559804800.

The previous prime is 102002112122081. The next prime is 102002112122111. The reversal of 102002112122100 is 1221211200201.

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 102002112122100.

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, 368632894 + ... + 368909493.

Almost surely, 2^{102002112122100} is an apocalyptic number.

102002112122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002112122100 is an abundant number, since it is smaller than the sum of its proper divisors (193764186144108).

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

102002112122100 is a wasteful number, since it uses less digits than its factorization.

102002112122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737542865 (or 737542858 counting only the distinct ones).

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

Adding to 102002112122100 its reverse (1221211200201), we get a palindrome (103223323322301).

The spelling of 102002112122100 in words is "one hundred two trillion, two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".