9001011001001 has 16 divisors (see below), whose sum is σ = 9666336424320. Its totient is φ = 8350820540160.

The previous prime is 9001011000931. The next prime is 9001011001051. The reversal of 9001011001001 is 1001001101009.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9001011001001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9001011001051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6603515 + ... + 7849103.

It is an arithmetic number, because the mean of its divisors is an integer number (604146026520).

Almost surely, 2^{9001011001001} is an apocalyptic number.

It is an amenable number.

9001011001001 is a deficient number, since it is larger than the sum of its proper divisors (665325423319).

9001011001001 is a wasteful number, since it uses less digits than its factorization.

9001011001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251664.

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

The spelling of 9001011001001 in words is "nine trillion, one billion, eleven million, one thousand, one".