900901901901 has 32 divisors (see below), whose sum is σ = 1228812042240. Its totient is φ = 587000687616.

The previous prime is 900901901873. The next prime is 900901901909. The reversal of 900901901901 is 109109109009.

It is not a de Polignac number, because 900901901901 - 2⁵ = 900901901869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 900901901901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900901901909) 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, 7235565 + ... + 7359021.

It is an arithmetic number, because the mean of its divisors is an integer number (38400376320).

Almost surely, 2^900901901901 is an apocalyptic number.

It is an amenable number.

900901901901 is a deficient number, since it is larger than the sum of its proper divisors (327910140339).

900901901901 is a wasteful number, since it uses less digits than its factorization.

900901901901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123873.

The product of its (nonzero) digits is 6561, while the sum is 39.

It can be divided in two parts, 90090 and 1901901, that added together give a palindrome (1991991).

The spelling of 900901901901 in words is "nine hundred billion, nine hundred one million, nine hundred one thousand, nine hundred one".