102200133100 has 72 divisors (see below), whose sum is σ = 241025319920. Its totient is φ = 37389185280.

The previous prime is 102200133071. The next prime is 102200133131. The reversal of 102200133100 is 1331002201.

It is a super-2 number, since 2×102200133100² (a number of 23 digits) contains 22 as substring.

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

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, 218922 + ... + 502321.

Almost surely, 2^102200133100 is an apocalyptic number.

102200133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200133100 is an abundant number, since it is smaller than the sum of its proper divisors (138825186820).

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

102200133100 is a wasteful number, since it uses less digits than its factorization.

102200133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721379 (or 721372 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102200133100 its reverse (1331002201), we get a palindrome (103531135301).

The spelling of 102200133100 in words is "one hundred two billion, two hundred million, one hundred thirty-three thousand, one hundred".