102021130120 has 192 divisors, whose sum is σ = 288608670000. Its totient is φ = 32170844160.

The previous prime is 102021130051. The next prime is 102021130177. The reversal of 102021130120 is 21031120201.

It can be written as a sum of positive squares in 8 ways, for example, as 45397120356 + 56624009764 = 213066^2 + 237958^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 102021130120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7152756 + ... + 7167004.

Almost surely, 2^102021130120 is an apocalyptic number.

102021130120 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 102021130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144304335000).

102021130120 is an abundant number, since it is smaller than the sum of its proper divisors (186587539880).

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

102021130120 is a wasteful number, since it uses less digits than its factorization.

102021130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14568 (or 14557 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102021130120 its reverse (21031120201), we get a palindrome (123052250321).

The spelling of 102021130120 in words is "one hundred two billion, twenty-one million, one hundred thirty thousand, one hundred twenty".