100131002232 has 128 divisors (see below), whose sum is σ = 260318361600. Its totient is φ = 32076269568.

The previous prime is 100131002207. The next prime is 100131002233. The reversal of 100131002232 is 232200131001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131002233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13889973 + ... + 13897179.

It is an arithmetic number, because the mean of its divisors is an integer number (2033737200).

Almost surely, 2^100131002232 is an apocalyptic number.

100131002232 is a gapful number since it is divisible by the number (12) 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 100131002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130159180800).

100131002232 is an abundant number, since it is smaller than the sum of its proper divisors (160187359368).

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

100131002232 is a wasteful number, since it uses less digits than its factorization.

100131002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7481 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100131002232 its reverse (232200131001), we get a palindrome (332331133233).

The spelling of 100131002232 in words is "one hundred billion, one hundred thirty-one million, two thousand, two hundred thirty-two".