100022132231424 has 432 divisors, whose sum is σ = 324141313991040. Its totient is φ = 29431958814720.

The previous prime is 100022132231317. The next prime is 100022132231449. The reversal of 100022132231424 is 424132231220001.

100022132231424 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 2 + 1 + 3 + 2 + 231 + 424 = 666.

It is a super-3 number, since 3×100022132231424³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4285610347 + ... + 4285633685.

It is an arithmetic number, because the mean of its divisors is an integer number (750327115720).

Almost surely, 2^{100022132231424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022132231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162070656995520).

100022132231424 is an abundant number, since it is smaller than the sum of its proper divisors (224119181759616).

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

100022132231424 is a wasteful number, since it uses less digits than its factorization.

100022132231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29618 (or 29601 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100022132231424 its reverse (424132231220001), we get a palindrome (524154363451425).

The spelling of 100022132231424 in words is "one hundred trillion, twenty-two billion, one hundred thirty-two million, two hundred thirty-one thousand, four hundred twenty-four".