90010000101 has 32 divisors (see below), whose sum is σ = 137874320640. Its totient is φ = 51166089216.

The previous prime is 90010000061. The next prime is 90010000109. The reversal of 90010000101 is 10100001009.

It is not a de Polignac number, because 90010000101 - 2¹³ = 90009991909 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 (90010000109) 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 31 ways as a sum of consecutive naturals, for example, 6133765 + ... + 6148421.

It is an arithmetic number, because the mean of its divisors is an integer number (4308572520).

Almost surely, 2^90010000101 is an apocalyptic number.

It is an amenable number.

90010000101 is a deficient number, since it is larger than the sum of its proper divisors (47864320539).

90010000101 is a wasteful number, since it uses less digits than its factorization.

90010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16173.

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 90010000101 in words is "ninety billion, ten million, one hundred one", and thus it is an aban number.