909090910001 has 16 divisors (see below), whose sum is σ = 928831438800. Its totient is φ = 889555258368.

The previous prime is 909090909983. The next prime is 909090910009. The reversal of 909090910001 is 100019090909.

It is a happy number.

909090910001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 46570071601 + 862520838400 = 215801^2 + 928720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-909090910001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (909090910009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17065115 + ... + 17118303.

It is an arithmetic number, because the mean of its divisors is an integer number (58051964925).

Almost surely, 2^909090910001 is an apocalyptic number.

It is an amenable number.

909090910001 is a deficient number, since it is larger than the sum of its proper divisors (19740528799).

909090910001 is a wasteful number, since it uses less digits than its factorization.

909090910001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55108.

The product of its (nonzero) digits is 6561, while the sum is 38.

The spelling of 909090910001 in words is "nine hundred nine billion, ninety million, nine hundred ten thousand, one".