102101112120 has 64 divisors (see below), whose sum is σ = 350060958720. Its totient is φ = 23337396864.

The previous prime is 102101112119. The next prime is 102101112149. The reversal of 102101112120 is 21211101201.

It is a super-2 number, since 2×102101112120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102101112096 and 102101112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60773632 + ... + 60775311.

It is an arithmetic number, because the mean of its divisors is an integer number (5469702480).

Almost surely, 2^102101112120 is an apocalyptic number.

102101112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101112120 is an abundant number, since it is smaller than the sum of its proper divisors (247959846600).

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

102101112120 is a wasteful number, since it uses less digits than its factorization.

102101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121548964 (or 121548960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101112120 its reverse (21211101201), we get a palindrome (123312213321).

The spelling of 102101112120 in words is "one hundred two billion, one hundred one million, one hundred twelve thousand, one hundred twenty".