990010010000101 has 8 divisors (see below), whose sum is σ = 990554486500800. Its totient is φ = 989465682743328.

The previous prime is 990010010000093. The next prime is 990010010000113. The reversal of 990010010000101 is 101000010010099.

990010010000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 990010010000101 - 2³ = 990010010000093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990050010000101) 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, 24039031 + ... + 50575636.

It is an arithmetic number, because the mean of its divisors is an integer number (123819310812600).

Almost surely, 2^{990010010000101} is an apocalyptic number.

It is an amenable number.

990010010000101 is a deficient number, since it is larger than the sum of its proper divisors (544476500699).

990010010000101 is a wasteful number, since it uses less digits than its factorization.

990010010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74621963.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 990010010000101 in words is "nine hundred ninety trillion, ten billion, ten million, one hundred one", and thus it is an aban number.