100100012042304 has 84 divisors (see below), whose sum is σ = 286919987435484. Its totient is φ = 33366510600192.

The previous prime is 100100012042257. The next prime is 100100012042311. The reversal of 100100012042304 is 403240210001001.

100100012042304 is a `hidden beast` number, since 100 + 100 + 0 + 120 + 42 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84174165923904 + 15925846118400 = 9174648^2 + 3990720^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239163264 + ... + 239581440.

Almost surely, 2^{100100012042304} is an apocalyptic number.

It is an amenable number.

100100012042304 is an abundant number, since it is smaller than the sum of its proper divisors (186819975393180).

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

100100012042304 is a wasteful number, since it uses less digits than its factorization.

100100012042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833772 (or 833759 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100100012042304 its reverse (403240210001001), we get a palindrome (503340222043305).

The spelling of 100100012042304 in words is "one hundred trillion, one hundred billion, twelve million, forty-two thousand, three hundred four".