102112202110100 has 72 divisors (see below), whose sum is σ = 272718127506048. Its totient is φ = 32316828796800.

The previous prime is 102112202110097. The next prime is 102112202110111. The reversal of 102112202110100 is 1011202211201.

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

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, 5610551456 + ... + 5610569655.

Almost surely, 2^{102112202110100} is an apocalyptic number.

102112202110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112202110100 is an abundant number, since it is smaller than the sum of its proper divisors (170605925395948).

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

102112202110100 is a wasteful number, since it uses less digits than its factorization.

102112202110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11221121145 (or 11221121138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112202110100 its reverse (1011202211201), we get a palindrome (103123404321301).

The spelling of 102112202110100 in words is "one hundred two trillion, one hundred twelve billion, two hundred two million, one hundred ten thousand, one hundred".