100004400001 has 8 divisors (see below), whose sum is σ = 109116229824. Its totient is φ = 90895990320.

The previous prime is 100004399969. The next prime is 100004400011.

100004400001 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 100004400001 - 2⁵ = 100004399969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100004400011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793701 + ... + 911026.

It is an arithmetic number, because the mean of its divisors is an integer number (13639528728).

Almost surely, 2^100004400001 is an apocalyptic number.

100004400001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100004400001 is a deficient number, since it is larger than the sum of its proper divisors (9111829823).

100004400001 is a wasteful number, since it uses less digits than its factorization.

100004400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710071.

The product of its (nonzero) digits is 16, while the sum is 10.

It can be divided in two parts, 100004 and 400001, that added together give a palindrome (500005).

The spelling of 100004400001 in words is "one hundred billion, four million, four hundred thousand, one".