102211112112 has 80 divisors (see below), whose sum is σ = 265215168000. Its totient is φ = 33919776000.

The previous prime is 102211112099. The next prime is 102211112141. The reversal of 102211112112 is 211211112201.

It is a happy number.

102211112112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102211112112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102211112091 and 102211112100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10318362 + ... + 10328262.

It is an arithmetic number, because the mean of its divisors is an integer number (3315189600).

Almost surely, 2^102211112112 is an apocalyptic number.

102211112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102211112112 is an abundant number, since it is smaller than the sum of its proper divisors (163004055888).

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

102211112112 is a wasteful number, since it uses less digits than its factorization.

102211112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10842 (or 10836 counting only the distinct ones).

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

Adding to 102211112112 its reverse (211211112201), we get a palindrome (313422224313).

The spelling of 102211112112 in words is "one hundred two billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".