102111102120 has 64 divisors (see below), whose sum is σ = 316215037440. Its totient is φ = 26351251200.

The previous prime is 102111102113. The next prime is 102111102139. The reversal of 102111102120 is 21201111201.

It is a super-2 number, since 2×102111102120² (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 = 102111102096 and 102111102105.

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, 13720891 + ... + 13728330.

It is an arithmetic number, because the mean of its divisors is an integer number (4940859960).

Almost surely, 2^102111102120 is an apocalyptic number.

102111102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111102120 is an abundant number, since it is smaller than the sum of its proper divisors (214103935320).

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

102111102120 is a wasteful number, since it uses less digits than its factorization.

102111102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27449266 (or 27449262 counting only the distinct ones).

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

Adding to 102111102120 its reverse (21201111201), we get a palindrome (123312213321).

The spelling of 102111102120 in words is "one hundred two billion, one hundred eleven million, one hundred two thousand, one hundred twenty".