102112133320 has 32 divisors (see below), whose sum is σ = 229762915200. Its totient is φ = 40842966208.

The previous prime is 102112133293. The next prime is 102112133327. The reversal of 102112133320 is 23331211201.

102112133320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102112133320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102112133327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1097667 + ... + 1187053.

It is an arithmetic number, because the mean of its divisors is an integer number (7180091100).

Almost surely, 2^102112133320 is an apocalyptic number.

102112133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112133320 is an abundant number, since it is smaller than the sum of its proper divisors (127650781880).

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

102112133320 is a wasteful number, since it uses less digits than its factorization.

102112133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117957 (or 117953 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102112133320 its reverse (23331211201), we get a palindrome (125443344521).

The spelling of 102112133320 in words is "one hundred two billion, one hundred twelve million, one hundred thirty-three thousand, three hundred twenty".