900900901001 has 4 divisors (see below), whose sum is σ = 909820712004. Its totient is φ = 891981090000.

The previous prime is 900900900973. The next prime is 900900901003. The reversal of 900900901001 is 100109009009.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100109009009 = 19 ⋅5268895211.

It can be written as a sum of positive squares in 2 ways, for example, as 883759807225 + 17141093776 = 940085^2 + 130924^2 .

It is a cyclic number.

It is not a de Polignac number, because 900900901001 - 2³⁸ = 626022994057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900900901003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4459905350 + ... + 4459905551.

It is an arithmetic number, because the mean of its divisors is an integer number (227455178001).

Almost surely, 2^900900901001 is an apocalyptic number.

It is an amenable number.

900900901001 is a deficient number, since it is larger than the sum of its proper divisors (8919811003).

900900901001 is a wasteful number, since it uses less digits than its factorization.

900900901001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8919811002.

The product of its (nonzero) digits is 729, while the sum is 29.

The spelling of 900900901001 in words is "nine hundred billion, nine hundred million, nine hundred one thousand, one".