90100022000109 has 64 divisors (see below), whose sum is σ = 133394482298880. Its totient is φ = 53632788189120.

The previous prime is 90100022000081. The next prime is 90100022000119.

90100022000109 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90100022000109 - 2²⁰ = 90100020951533 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90100022000119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15211886622 + ... + 15211892544.

It is an arithmetic number, because the mean of its divisors is an integer number (2084288785920).

Almost surely, 2^{90100022000109} is an apocalyptic number.

It is an amenable number.

90100022000109 is a deficient number, since it is larger than the sum of its proper divisors (43294460298771).

90100022000109 is a wasteful number, since it uses less digits than its factorization.

90100022000109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11630.

The product of its (nonzero) digits is 324, while the sum is 24.

The spelling of 90100022000109 in words is "ninety trillion, one hundred billion, twenty-two million, one hundred nine", and thus it is an aban number.