9901010009 has 12 divisors (see below), whose sum is σ = 11148371220. Its totient is φ = 8781379200.

The previous prime is 9901009997. The next prime is 9901010017. The reversal of 9901010009 is 9000101099.

It can be written as a sum of positive squares in 2 ways, for example, as 5727462400 + 4173547609 = 75680^2 + 64603^2 .

It is not a de Polignac number, because 9901010009 - 2²⁴ = 9884232793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9901010309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992924 + ... + 1002845.

It is an arithmetic number, because the mean of its divisors is an integer number (929030935).

Almost surely, 2^9901010009 is an apocalyptic number.

It is an amenable number.

9901010009 is a deficient number, since it is larger than the sum of its proper divisors (1247361211).

9901010009 is a wasteful number, since it uses less digits than its factorization.

9901010009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995832 (or 1995821 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 29.

The square root of 9901010009 is about 99503.8190674107. The cubic root of 9901010009 is about 2147.3021874377.

The spelling of 9901010009 in words is "nine billion, nine hundred one million, ten thousand, nine".