100032279368112 has 6400 divisors, whose sum is σ = 446025852518400. Its totient is φ = 20858412072960.

The previous prime is 100032279368107. The next prime is 100032279368191. The reversal of 100032279368112 is 211863972230001.

It is a happy number.

100032279368112 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 2 + 279 + 368 + 1 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 787655742993 + ... + 787655743119.

It is an arithmetic number, because the mean of its divisors is an integer number (69691539456).

Almost surely, 2^{100032279368112} is an apocalyptic number.

100032279368112 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 100032279368112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223012926259200).

100032279368112 is an abundant number, since it is smaller than the sum of its proper divisors (345993573150288).

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

100032279368112 is a wasteful number, since it uses less digits than its factorization.

100032279368112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100032279368112 in words is "one hundred trillion, thirty-two billion, two hundred seventy-nine million, three hundred sixty-eight thousand, one hundred twelve".