9001020122001 has 6 divisors (see below), whose sum is σ = 13001473509570. Its totient is φ = 6000680081328.

The previous prime is 9001020121997. The next prime is 9001020122041. The reversal of 9001020122001 is 1002210201009.

It can be written as a sum of positive squares in only one way, i.e., 8138462134401 + 862557987600 = 2852799^2 + 928740^2 .

It is not a de Polignac number, because 9001020122001 - 2² = 9001020121997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9001020122041) 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 5 ways as a sum of consecutive naturals, for example, 500056673436 + ... + 500056673453.

It is an arithmetic number, because the mean of its divisors is an integer number (2166912251595).

Almost surely, 2^{9001020122001} is an apocalyptic number.

It is an amenable number.

9001020122001 is a deficient number, since it is larger than the sum of its proper divisors (4000453387569).

9001020122001 is a wasteful number, since it uses less digits than its factorization.

9001020122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000113346895 (or 1000113346892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 9001020122001 in words is "nine trillion, one billion, twenty million, one hundred twenty-two thousand, one".