9000111101001 has 32 divisors (see below), whose sum is σ = 12466683174528. Its totient is φ = 5770736294400.

The previous prime is 9000111100891. The next prime is 9000111101017. The reversal of 9000111101001 is 1001011110009.

It is not a de Polignac number, because 9000111101001 - 2¹⁴ = 9000111084617 is a prime.

It is a super-2 number, since 2×9000111101001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9000111101041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6266626 + ... + 7567748.

It is an arithmetic number, because the mean of its divisors is an integer number (389583849204).

Almost surely, 2^{9000111101001} is an apocalyptic number.

It is an amenable number.

9000111101001 is a deficient number, since it is larger than the sum of its proper divisors (3466572073527).

9000111101001 is a wasteful number, since it uses less digits than its factorization.

9000111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301881.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 9000111101001 in words is "nine trillion, one hundred eleven million, one hundred one thousand, one".