9900900009009 has 6 divisors (see below), whose sum is σ = 14301300013026. Its totient is φ = 6600600006000.

The previous prime is 9900900008999. The next prime is 9900900009059. The reversal of 9900900009009 is 9009000090099.

It can be written as a sum of positive squares in only one way, i.e., 9637746398784 + 263153610225 = 3104472^2 + 512985^2 .

It is not a de Polignac number, because 9900900009009 - 2⁹ = 9900900008497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9900900009059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 550050000492 + ... + 550050000509.

It is an arithmetic number, because the mean of its divisors is an integer number (2383550002171).

Almost surely, 2^{9900900009009} is an apocalyptic number.

It is an amenable number.

9900900009009 is a deficient number, since it is larger than the sum of its proper divisors (4400400004017).

9900900009009 is a wasteful number, since it uses less digits than its factorization.

9900900009009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100100001007 (or 1100100001004 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The spelling of 9900900009009 in words is "nine trillion, nine hundred billion, nine hundred million, nine thousand, nine".