100402032000 has 128 divisors (see below), whose sum is σ = 332832895200. Its totient is φ = 26773862400.

The previous prime is 100402031993. The next prime is 100402032007. The reversal of 100402032000 is 230204001.

It is an interprime number because it is at equal distance from previous prime (100402031993) and next prime (100402032007).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100402032007) 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 15 ways as a sum of consecutive naturals, for example, 997855 + ... + 1093854.

Almost surely, 2^100402032000 is an apocalyptic number.

100402032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100402032000 is an abundant number, since it is smaller than the sum of its proper divisors (232430863200).

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

100402032000 is an equidigital number, since it uses as much as digits as its factorization.

100402032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091741 (or 2091719 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100402032000 its reverse (230204001), we get a palindrome (100632236001).

The spelling of 100402032000 in words is "one hundred billion, four hundred two million, thirty-two thousand".