102100112 has 20 divisors (see below), whose sum is σ = 204201216. Its totient is φ = 49403040.

The previous prime is 102100111. The next prime is 102100123. The reversal of 102100112 is 211001201.

102100112 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 102100112.

It is not an unprimeable number, because it can be changed into a prime (102100111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102428 + ... + 103419.

Almost surely, 2^102100112 is an apocalyptic number.

It is an amenable number.

102100112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

102100112 is a wasteful number, since it uses less digits than its factorization.

102100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205886 (or 205880 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102100112 is about 10104.4600053640. The cubic root of 102100112 is about 467.3856843467.

Adding to 102100112 its reverse (211001201), we get a palindrome (313101313).

The spelling of 102100112 in words is "one hundred two million, one hundred thousand, one hundred twelve".