102111122112 has 56 divisors (see below), whose sum is σ = 270211759296. Its totient is φ = 34031655168.

The previous prime is 102111122063. The next prime is 102111122119. The reversal of 102111122112 is 211221111201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102111122091 and 102111122100.

It is not an unprimeable number, because it can be changed into a prime (102111122119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1282903 + ... + 1360169.

Almost surely, 2^102111122112 is an apocalyptic number.

102111122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111122112 is an abundant number, since it is smaller than the sum of its proper divisors (168100637184).

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

102111122112 is an equidigital number, since it uses as much as digits as its factorization.

102111122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84165 (or 84155 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102111122112 its reverse (211221111201), we get a palindrome (313332233313).

The spelling of 102111122112 in words is "one hundred two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".