90001001100001 has 8 divisors (see below), whose sum is σ = 91478883886184. Its totient is φ = 88523197557120.

The previous prime is 90001001099983. The next prime is 90001001100061. The reversal of 90001001100001 is 10000110010009.

It can be written as a sum of positive squares in 4 ways, for example, as 15550592843776 + 74450408256225 = 3943424^2 + 8628465^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90001001100001 - 2⁹ = 90001001099489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90001001100061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17518506 + ... + 22065811.

It is an arithmetic number, because the mean of its divisors is an integer number (11434860485773).

Almost surely, 2^{90001001100001} is an apocalyptic number.

It is an amenable number.

90001001100001 is a deficient number, since it is larger than the sum of its proper divisors (1477882786183).

90001001100001 is a wasteful number, since it uses less digits than its factorization.

90001001100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39621651.

The product of its (nonzero) digits is 9, while the sum is 13.

It can be divided in two parts, 9000100 and 1100001, that added together give a palindrome (10100101).

The spelling of 90001001100001 in words is "ninety trillion, one billion, one million, one hundred thousand, one".