210102112100112 has 20 divisors (see below), whose sum is σ = 542763789592080. Its totient is φ = 70034037366688.

The previous prime is 210102112100093. The next prime is 210102112100207. The reversal of 210102112100112 is 211001211201012.

It is a happy number.

It is a super-2 number, since 2×210102112100112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210102112100091 and 210102112100100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2188563667662 + ... + 2188563667757.

It is an arithmetic number, because the mean of its divisors is an integer number (27138189479604).

Almost surely, 2^{210102112100112} is an apocalyptic number.

It is an amenable number.

210102112100112 is an abundant number, since it is smaller than the sum of its proper divisors (332661677491968).

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

210102112100112 is a wasteful number, since it uses less digits than its factorization.

210102112100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377127335430 (or 4377127335424 counting only the distinct ones).

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

Adding to 210102112100112 its reverse (211001211201012), we get a palindrome (421103323301124).

The spelling of 210102112100112 in words is "two hundred ten trillion, one hundred two billion, one hundred twelve million, one hundred thousand, one hundred twelve".