102110120010112 has 64 divisors (see below), whose sum is σ = 207756155059200. Its totient is φ = 49967456387584.

The previous prime is 102110120010097. The next prime is 102110120010193. The reversal of 102110120010112 is 211010021011201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×102110120010112³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102110120010092 and 102110120010101.

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, 249573903 + ... + 249982705.

It is an arithmetic number, because the mean of its divisors is an integer number (3246189922800).

Almost surely, 2^{102110120010112} is an apocalyptic number.

It is an amenable number.

102110120010112 is an abundant number, since it is smaller than the sum of its proper divisors (105646035049088).

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

102110120010112 is an equidigital number, since it uses as much as digits as its factorization.

102110120010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450383 (or 450371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102110120010112 its reverse (211010021011201), we get a palindrome (313120141021313).

The spelling of 102110120010112 in words is "one hundred two trillion, one hundred ten billion, one hundred twenty million, ten thousand, one hundred twelve".