9000010111001 has 32 divisors (see below), whose sum is σ = 11178584202240. Its totient is φ = 7055582413824.

The previous prime is 9000010110967. The next prime is 9000010111039. The reversal of 9000010111001 is 1001110100009.

It is a happy number.

It is not a de Polignac number, because 9000010111001 - 2⁶ = 9000010110937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9000010111501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31932371 + ... + 32212983.

It is an arithmetic number, because the mean of its divisors is an integer number (349330756320).

Almost surely, 2^{9000010111001} is an apocalyptic number.

9000010111001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9000010111001 is a deficient number, since it is larger than the sum of its proper divisors (2178574091239).

9000010111001 is a wasteful number, since it uses less digits than its factorization.

9000010111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283865.

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

The spelling of 9000010111001 in words is "nine trillion, ten million, one hundred eleven thousand, one".