102101122120 has 96 divisors (see below), whose sum is σ = 244213833600. Its totient is φ = 38410038272.

The previous prime is 102101122049. The next prime is 102101122199. The reversal of 102101122120 is 21221101201.

It is a self number, because there is not a number n which added to its sum of digits gives 102101122120.

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, 22875009 + ... + 22879471.

It is an arithmetic number, because the mean of its divisors is an integer number (2543894100).

Almost surely, 2^102101122120 is an apocalyptic number.

102101122120 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 102101122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122106916800).

102101122120 is an abundant number, since it is smaller than the sum of its proper divisors (142112711480).

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

102101122120 is a wasteful number, since it uses less digits than its factorization.

102101122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6487 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102101122120 its reverse (21221101201), we get a palindrome (123322223321).

The spelling of 102101122120 in words is "one hundred two billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty".