9000101001 has 8 divisors (see below), whose sum is σ = 12324462784. Its totient is φ = 5837903280.

The previous prime is 9000100987. The next prime is 9000101023. The reversal of 9000101001 is 1001010009.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9000101001 - 2⁷ = 9000100873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9000101501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40540885 + ... + 40541106.

It is an arithmetic number, because the mean of its divisors is an integer number (1540557848).

Almost surely, 2^9000101001 is an apocalyptic number.

It is an amenable number.

9000101001 is a deficient number, since it is larger than the sum of its proper divisors (3324361783).

9000101001 is a wasteful number, since it uses less digits than its factorization.

9000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81082031.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 9000101001 is about 94868.8621255678. The cubic root of 9000101001 is about 2080.0916041541.

The spelling of 9000101001 in words is "nine billion, one hundred one thousand, one".