102100022112 has 96 divisors (see below), whose sum is σ = 298598275584. Its totient is φ = 30281100800.

The previous prime is 102100022111. The next prime is 102100022119. The reversal of 102100022112 is 211220001201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100022111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978939 + ... + 1078202.

It is an arithmetic number, because the mean of its divisors is an integer number (3110398704).

Almost surely, 2^102100022112 is an apocalyptic number.

102100022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102100022112 is an abundant number, since it is smaller than the sum of its proper divisors (196498253472).

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

102100022112 is a wasteful number, since it uses less digits than its factorization.

102100022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057212 (or 2057204 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102100022112 its reverse (211220001201), we get a palindrome (313320023313).

The spelling of 102100022112 in words is "one hundred two billion, one hundred million, twenty-two thousand, one hundred twelve".