100012311132 has 96 divisors (see below), whose sum is σ = 242955428352. Its totient is φ = 31992973056.

The previous prime is 100012311127. The next prime is 100012311181. The reversal of 100012311132 is 231113210001.

It is a happy number.

It is a super-2 number, since 2×100012311132² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26789538 + ... + 26793270.

It is an arithmetic number, because the mean of its divisors is an integer number (2530785712).

Almost surely, 2^100012311132 is an apocalyptic number.

100012311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100012311132 is an abundant number, since it is smaller than the sum of its proper divisors (142943117220).

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

100012311132 is a wasteful number, since it uses less digits than its factorization.

100012311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4585 counting only the distinct ones).

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

Adding to 100012311132 its reverse (231113210001), we get a palindrome (331125521133).

It can be divided in two parts, 10001 and 2311132, that multiplied together give a palindrome (23113631132).

The spelling of 100012311132 in words is "one hundred billion, twelve million, three hundred eleven thousand, one hundred thirty-two".