10001104041201 has 32 divisors (see below), whose sum is σ = 17125636362240. Its totient is φ = 5045946421824.

The previous prime is 10001104041107. The next prime is 10001104041209. The reversal of 10001104041201 is 10214040110001.

It is not a de Polignac number, because 10001104041201 - 2⁷ = 10001104041073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001104041209) 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 31 ways as a sum of consecutive naturals, for example, 796386781 + ... + 796399338.

It is an arithmetic number, because the mean of its divisors is an integer number (535176136320).

Almost surely, 2^{10001104041201} is an apocalyptic number.

It is an amenable number.

10001104041201 is a deficient number, since it is larger than the sum of its proper divisors (7124532321039).

10001104041201 is a wasteful number, since it uses less digits than its factorization.

10001104041201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592786165.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10001104041201 its reverse (10214040110001), we get a palindrome (20215144151202).

The spelling of 10001104041201 in words is "ten trillion, one billion, one hundred four million, forty-one thousand, two hundred one".