100021344243120 has 240 divisors, whose sum is σ = 344602433309472. Its totient is φ = 25989917552640.

The previous prime is 100021344243109. The next prime is 100021344243127. The reversal of 100021344243120 is 21342443120001.

100021344243120 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 1 + 344 + 2 + 4 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (100021344243127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5942397 + ... + 15341276.

Almost surely, 2^{100021344243120} is an apocalyptic number.

100021344243120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021344243120 is an abundant number, since it is smaller than the sum of its proper divisors (244581089066352).

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

100021344243120 is a wasteful number, since it uses less digits than its factorization.

100021344243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21283860 (or 21283851 counting only the distinct ones).

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

Adding to 100021344243120 its reverse (21342443120001), we get a palindrome (121363787363121).

The spelling of 100021344243120 in words is "one hundred trillion, twenty-one billion, three hundred forty-four million, two hundred forty-three thousand, one hundred twenty".