102212102000112 has 160 divisors (see below), whose sum is σ = 286202358668352. Its totient is φ = 31246082629632.

The previous prime is 102212102000059. The next prime is 102212102000123. The reversal of 102212102000112 is 211000201212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212102000091 and 102212102000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961698718 + ... + 961804994.

Almost surely, 2^{102212102000112} is an apocalyptic number.

102212102000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212102000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143101179334176).

102212102000112 is an abundant number, since it is smaller than the sum of its proper divisors (183990256668240).

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

102212102000112 is a wasteful number, since it uses less digits than its factorization.

102212102000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116275 (or 116269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212102000112 its reverse (211000201212201), we get a palindrome (313212303212313).

The spelling of 102212102000112 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, one hundred twelve", and thus it is an aban number.