100127718432 has 384 divisors, whose sum is σ = 339478110720. Its totient is φ = 28472850432.

The previous prime is 100127718421. The next prime is 100127718443. The reversal of 100127718432 is 234817721001.

It is an interprime number because it is at equal distance from previous prime (100127718421) and next prime (100127718443).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153334618 + ... + 153335270.

It is an arithmetic number, because the mean of its divisors is an integer number (884057580).

Almost surely, 2^100127718432 is an apocalyptic number.

100127718432 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 100127718432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169739055360).

100127718432 is an abundant number, since it is smaller than the sum of its proper divisors (239350392288).

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

100127718432 is an frugal number, since it uses more digits than its factorization.

100127718432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 100127718432 in words is "one hundred billion, one hundred twenty-seven million, seven hundred eighteen thousand, four hundred thirty-two".