100004410001 has 8 divisors (see below), whose sum is σ = 105891458760. Its totient is φ = 94117854208.

The previous prime is 100004409997. The next prime is 100004410039. The reversal of 100004410001 is 100014400001.

It can be written as a sum of positive squares in 4 ways, for example, as 36691785601 + 63312624400 = 191551^2 + 251620^2 .

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 100004410001 - 2² = 100004409997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100004410501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345365 + ... + 565053.

It is an arithmetic number, because the mean of its divisors is an integer number (13236432345).

Almost surely, 2^100004410001 is an apocalyptic number.

It is an amenable number.

100004410001 is a deficient number, since it is larger than the sum of its proper divisors (5887048759).

100004410001 is a wasteful number, since it uses less digits than its factorization.

100004410001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246483.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100004410001 its reverse (100014400001), we get a palindrome (200018810002).

The spelling of 100004410001 in words is "one hundred billion, four million, four hundred ten thousand, one".