100238222952 has 512 divisors, whose sum is σ = 348986880000. Its totient is φ = 26006593536.

The previous prime is 100238222951. The next prime is 100238222989. The reversal of 100238222952 is 259222832001.

100238222952 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 382 + 229 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100238222951) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98368699 + ... + 98369717.

It is an arithmetic number, because the mean of its divisors is an integer number (681615000).

Almost surely, 2^100238222952 is an apocalyptic number.

100238222952 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 100238222952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174493440000).

100238222952 is an abundant number, since it is smaller than the sum of its proper divisors (248748657048).

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

100238222952 is a wasteful number, since it uses less digits than its factorization.

100238222952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 100238222952 in words is "one hundred billion, two hundred thirty-eight million, two hundred twenty-two thousand, nine hundred fifty-two".