100744402276321 has 16 divisors (see below), whose sum is σ = 101525518702800. Its totient is φ = 99964737331200.

The previous prime is 100744402276303. The next prime is 100744402276367. The reversal of 100744402276321 is 123672204447001.

It can be written as a sum of positive squares in 8 ways, for example, as 6389211680721 + 94355190595600 = 2527689^2 + 9713660^2 .

It is a cyclic number.

It is not a de Polignac number, because 100744402276321 - 2³⁵ = 100710042537953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100744402276121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589846291 + ... + 590017063.

It is an arithmetic number, because the mean of its divisors is an integer number (6345344918925).

Almost surely, 2^{100744402276321} is an apocalyptic number.

It is an amenable number.

100744402276321 is a deficient number, since it is larger than the sum of its proper divisors (781116426479).

100744402276321 is a wasteful number, since it uses less digits than its factorization.

100744402276321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174996.

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 100744402276321 in words is "one hundred trillion, seven hundred forty-four billion, four hundred two million, two hundred seventy-six thousand, three hundred twenty-one".