210112112000112 has 80 divisors (see below), whose sum is σ = 622351619780352. Its totient is φ = 59836487892480.

The previous prime is 210112112000101. The next prime is 210112112000113. The reversal of 210112112000112 is 211000211211012.

It is a happy number.

210112112000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×210112112000112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210112112000091 and 210112112000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210112112000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018355589 + ... + 1018561892.

Almost surely, 2^{210112112000112} is an apocalyptic number.

It is an amenable number.

210112112000112 is an abundant number, since it is smaller than the sum of its proper divisors (412239507780240).

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

210112112000112 is a wasteful number, since it uses less digits than its factorization.

210112112000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036917806 (or 2036917800 counting only the distinct ones).

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

Adding to 210112112000112 its reverse (211000211211012), we get a palindrome (421112323211124).

The spelling of 210112112000112 in words is "two hundred ten trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve", and thus it is an aban number.