102000011112 has 48 divisors (see below), whose sum is σ = 277467035040. Its totient is φ = 33850218528.

The previous prime is 102000011111. The next prime is 102000011123. The reversal of 102000011112 is 211110000201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102000011094 and 102000011103.

It is not an unprimeable number, because it can be changed into a prime (102000011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3104068 + ... + 3136755.

It is an arithmetic number, because the mean of its divisors is an integer number (5780563230).

Almost surely, 2^102000011112 is an apocalyptic number.

102000011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102000011112 is an abundant number, since it is smaller than the sum of its proper divisors (175467023928).

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

102000011112 is a wasteful number, since it uses less digits than its factorization.

102000011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241062 (or 6241055 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102000011112 its reverse (211110000201), we get a palindrome (313110011313).

The spelling of 102000011112 in words is "one hundred two billion, eleven thousand, one hundred twelve".