102211112120 has 96 divisors (see below), whose sum is σ = 263675081520. Its totient is φ = 35519477760.

The previous prime is 102211112099. The next prime is 102211112141. The reversal of 102211112120 is 21211112201.

102211112120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102211112099) and next prime (102211112141).

It is a super-2 number, since 2×102211112120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102211112095 and 102211112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329786 + ... + 559625.

Almost surely, 2^102211112120 is an apocalyptic number.

102211112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211112120 is an abundant number, since it is smaller than the sum of its proper divisors (161463969400).

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

102211112120 is a wasteful number, since it uses less digits than its factorization.

102211112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889465 (or 889448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102211112120 its reverse (21211112201), we get a palindrome (123422224321).

The spelling of 102211112120 in words is "one hundred two billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty".