102202012012100 has 144 divisors (see below), whose sum is σ = 297772351933056. Its totient is φ = 29404774656000.

The previous prime is 102202012012073. The next prime is 102202012012109. The reversal of 102202012012100 is 1210210202201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (102202012012109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510399461 + ... + 510599660.

Almost surely, 2^{102202012012100} is an apocalyptic number.

102202012012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202012012100 is an abundant number, since it is smaller than the sum of its proper divisors (195570339920956).

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

102202012012100 is a wasteful number, since it uses less digits than its factorization.

102202012012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020999166 (or 1020999159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102202012012100 its reverse (1210210202201), we get a palindrome (103412222214301).

The spelling of 102202012012100 in words is "one hundred two trillion, two hundred two billion, twelve million, twelve thousand, one hundred".