909100011001 has 12 divisors (see below), whose sum is σ = 1138872542052. Its totient is φ = 719287920288.

The previous prime is 909100010977. The next prime is 909100011007. The reversal of 909100011001 is 100110001909.

It can be written as a sum of positive squares in 2 ways, for example, as 512729034601 + 396370976400 = 716051^2 + 629580^2 .

It is not a de Polignac number, because 909100011001 - 2¹⁷ = 909099879929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (909100011007) 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 11 ways as a sum of consecutive naturals, for example, 713578650 + ... + 713579923.

It is an arithmetic number, because the mean of its divisors is an integer number (94906045171).

Almost surely, 2^909100011001 is an apocalyptic number.

909100011001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

909100011001 is a deficient number, since it is larger than the sum of its proper divisors (229772531051).

909100011001 is a wasteful number, since it uses less digits than its factorization.

909100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427158600 (or 1427158593 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 909100011001 in words is "nine hundred nine billion, one hundred million, eleven thousand, one".