100232144140320 has 144 divisors (see below), whose sum is σ = 342065505501720. Its totient is φ = 26726749949952.

The previous prime is 100232144140319. The next prime is 100232144140333. The reversal of 100232144140320 is 23041441232001.

100232144140320 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 214 + 41 + 403 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91322563888656 + 8909580251664 = 9556284^2 + 2984892^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18827676 + ... + 23557284.

Almost surely, 2^{100232144140320} is an apocalyptic number.

100232144140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100232144140320 is an abundant number, since it is smaller than the sum of its proper divisors (241833361361400).

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

100232144140320 is a wasteful number, since it uses less digits than its factorization.

100232144140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744347 (or 4744336 counting only the distinct ones).

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

Adding to 100232144140320 its reverse (23041441232001), we get a palindrome (123273585372321).

The spelling of 100232144140320 in words is "one hundred trillion, two hundred thirty-two billion, one hundred forty-four million, one hundred forty thousand, three hundred twenty".