9901000001 has 8 divisors (see below), whose sum is σ = 10109900424. Its totient is φ = 9694080000.

The previous prime is 9900999991. The next prime is 9901000051. The reversal of 9901000001 is 1000001099.

It can be written as a sum of positive squares in 4 ways, for example, as 336355600 + 9564644401 = 18340^2 + 97799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9901000001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9901000051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485000 + ... + 505001.

It is an arithmetic number, because the mean of its divisors is an integer number (1263737553).

Almost surely, 2^9901000001 is an apocalyptic number.

It is an amenable number.

9901000001 is a deficient number, since it is larger than the sum of its proper divisors (208900423).

9901000001 is a wasteful number, since it uses less digits than its factorization.

9901000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990211.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 9901000001 is about 99503.7687778709. The cubic root of 9901000001 is about 2147.3014639355.

The spelling of 9901000001 in words is "nine billion, nine hundred one million, one", and thus it is an aban number.