102112111211100 has 72 divisors (see below), whose sum is σ = 295466535598080. Its totient is φ = 27227853881280.

The previous prime is 102112111211083. The next prime is 102112111211177. The reversal of 102112111211100 is 1112111211201.

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 102112111211100.

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, 8756892 + ... + 16760291.

Almost surely, 2^{102112111211100} is an apocalyptic number.

102112111211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112111211100 is an abundant number, since it is smaller than the sum of its proper divisors (193354424386980).

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

102112111211100 is a wasteful number, since it uses less digits than its factorization.

102112111211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25530539 (or 25530532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102112111211100 its reverse (1112111211201), we get a palindrome (103224222422301).

The spelling of 102112111211100 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, two hundred eleven thousand, one hundred".