102132311000100 has 72 divisors (see below), whose sum is σ = 298213854966720. Its totient is φ = 26985417943680.

The previous prime is 102132311000009. The next prime is 102132311000149. The reversal of 102132311000100 is 1000113231201.

It is a happy number.

It is a super-2 number, since 2×102132311000100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102132311000100.

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, 1561623432 + ... + 1561688831.

It is an arithmetic number, because the mean of its divisors is an integer number (4141859096760).

Almost surely, 2^{102132311000100} is an apocalyptic number.

102132311000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132311000100 is an abundant number, since it is smaller than the sum of its proper divisors (196081543966620).

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

102132311000100 is a wasteful number, since it uses less digits than its factorization.

102132311000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123312389 (or 3123312382 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102132311000100 its reverse (1000113231201), we get a palindrome (103132424231301).

The spelling of 102132311000100 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred eleven million, one hundred", and thus it is an aban number.