9900211001 has 16 divisors (see below), whose sum is σ = 10914332688. Its totient is φ = 8941516800.

The previous prime is 9900210977. The next prime is 9900211039. The reversal of 9900211001 is 1001120099.

9900211001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 82373776 + 9817837225 = 9076^2 + 99085^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9900211001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9900211301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73910 + ... + 158943.

It is an arithmetic number, because the mean of its divisors is an integer number (682145793).

Almost surely, 2^9900211001 is an apocalyptic number.

It is an amenable number.

9900211001 is a deficient number, since it is larger than the sum of its proper divisors (1014121687).

9900211001 is a wasteful number, since it uses less digits than its factorization.

9900211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232972.

The product of its (nonzero) digits is 162, while the sum is 23.

The square root of 9900211001 is about 99499.8040249326. The cubic root of 9900211001 is about 2147.2444237086.

The spelling of 9900211001 in words is "nine billion, nine hundred million, two hundred eleven thousand, one".