102111122112120 has 1024 divisors, whose sum is σ = 388257546240000. Its totient is φ = 23644093777920.

The previous prime is 102111122112053. The next prime is 102111122112137. The reversal of 102111122112120 is 21211221111201.

It is a happy number.

102111122112120 is a `hidden beast` number, since 10 + 211 + 11 + 221 + 1 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102111122112093 and 102111122112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16057729501 + ... + 16057735859.

It is an arithmetic number, because the mean of its divisors is an integer number (379157760000).

Almost surely, 2^{102111122112120} is an apocalyptic number.

102111122112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111122112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194128773120000).

102111122112120 is an abundant number, since it is smaller than the sum of its proper divisors (286146424127880).

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

102111122112120 is a wasteful number, since it uses less digits than its factorization.

102111122112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6913 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102111122112120 its reverse (21211221111201), we get a palindrome (123322343223321).

The spelling of 102111122112120 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".