90011000101 has 16 divisors (see below), whose sum is σ = 98968674816. Its totient is φ = 81182790000.

The previous prime is 90011000069. The next prime is 90011000113. The reversal of 90011000101 is 10100011009.

It is a cyclic number.

It is not a de Polignac number, because 90011000101 - 2⁵ = 90011000069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90011003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9896566 + ... + 9905656.

It is an arithmetic number, because the mean of its divisors is an integer number (6185542176).

Almost surely, 2^90011000101 is an apocalyptic number.

It is an amenable number.

90011000101 is a deficient number, since it is larger than the sum of its proper divisors (8957674715).

90011000101 is a wasteful number, since it uses less digits than its factorization.

90011000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16104.

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

The spelling of 90011000101 in words is "ninety billion, eleven million, one hundred one", and thus it is an aban number.