102222200000112 has 40 divisors (see below), whose sum is σ = 264091659916560. Its totient is φ = 34071790118400.

The previous prime is 102222200000093. The next prime is 102222200000147. The reversal of 102222200000112 is 211000002222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222200000091 and 102222200000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70416139 + ... + 71853162.

It is an arithmetic number, because the mean of its divisors is an integer number (6602291497914).

Almost surely, 2^{102222200000112} is an apocalyptic number.

102222200000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102222200000112 is an abundant number, since it is smaller than the sum of its proper divisors (161869459916448).

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

102222200000112 is a wasteful number, since it uses less digits than its factorization.

102222200000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142284281 (or 142284275 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102222200000112 its reverse (211000002222201), we get a palindrome (313222202222313).

The spelling of 102222200000112 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred million, one hundred twelve", and thus it is an aban number.