100440282044001 has 8 divisors (see below), whose sum is σ = 133926452664640. Its totient is φ = 66957149726352.

The previous prime is 100440282043961. The next prime is 100440282044027.

100440282044001 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100440282044001 - 2³⁰ = 100439208302177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100440282044001.

It is not an unprimeable number, because it can be changed into a prime (100440281044001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759498610 + ... + 759630843.

It is an arithmetic number, because the mean of its divisors is an integer number (16740806583080).

Almost surely, 2^{100440282044001} is an apocalyptic number.

It is an amenable number.

100440282044001 is a deficient number, since it is larger than the sum of its proper divisors (33486170620639).

100440282044001 is a wasteful number, since it uses less digits than its factorization.

100440282044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519151495.

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 100440282044001 in words is "one hundred trillion, four hundred forty billion, two hundred eighty-two million, forty-four thousand, one".