9000111010001 has 16 divisors (see below), whose sum is σ = 9156284963280. Its totient is φ = 8845211612160.

The previous prime is 9000111009997. The next prime is 9000111010043. The reversal of 9000111010001 is 1000101110009.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2070502277776 + 6929608732225 = 1438924^2 + 2632415^2 .

It is a cyclic number.

It is not a de Polignac number, because 9000111010001 - 2² = 9000111009997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9000111010091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30994181 + ... + 31283213.

It is an arithmetic number, because the mean of its divisors is an integer number (572267810205).

Almost surely, 2^{9000111010001} is an apocalyptic number.

It is an amenable number.

9000111010001 is a deficient number, since it is larger than the sum of its proper divisors (156173953279).

9000111010001 is a wasteful number, since it uses less digits than its factorization.

9000111010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291236.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 9000111010001 in words is "nine trillion, one hundred eleven million, ten thousand, one".