102012133120 has 144 divisors (see below), whose sum is σ = 248989712832. Its totient is φ = 40037580800.

The previous prime is 102012133109. The next prime is 102012133183. The reversal of 102012133120 is 21331210201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102012133094 and 102012133103.

It is a congruent number.

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, 14605149 + ... + 14612131.

It is an arithmetic number, because the mean of its divisors is an integer number (1729095228).

Almost surely, 2^102012133120 is an apocalyptic number.

102012133120 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 102012133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124494856416).

102012133120 is an abundant number, since it is smaller than the sum of its proper divisors (146977579712).

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

102012133120 is a wasteful number, since it uses less digits than its factorization.

102012133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102012133120 its reverse (21331210201), we get a palindrome (123343343321).

The spelling of 102012133120 in words is "one hundred two billion, twelve million, one hundred thirty-three thousand, one hundred twenty".