9011000100001 has 16 divisors (see below), whose sum is σ = 9264233894400. Its totient is φ = 8760336379200.

The previous prime is 9011000099929. The next prime is 9011000100031. The reversal of 9011000100001 is 1000010001109.

It is a cyclic number.

It is not a de Polignac number, because 9011000100001 - 2⁷ = 9011000099873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9011000100031) 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 15 ways as a sum of consecutive naturals, for example, 167100295 + ... + 167154211.

It is an arithmetic number, because the mean of its divisors is an integer number (579014618400).

Almost surely, 2^{9011000100001} is an apocalyptic number.

It is an amenable number.

9011000100001 is a deficient number, since it is larger than the sum of its proper divisors (253233794399).

9011000100001 is a wasteful number, since it uses less digits than its factorization.

9011000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77664.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 9011000100001 in words is "nine trillion, eleven billion, one hundred thousand, one".