9909900099099 has 144 divisors (see below), whose sum is σ = 20503909573056. Its totient is φ = 4472469872640.

The previous prime is 9909900099017. The next prime is 9909900099103.

9909900099099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9909900099099 - 2⁸ = 9909900098843 is a prime.

It is a super-2 number, since 2×9909900099099² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9909900099299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1256494 + ... + 4625859.

It is an arithmetic number, because the mean of its divisors is an integer number (142388260924).

Almost surely, 2^{9909900099099} is an apocalyptic number.

9909900099099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9909900099099 is an abundant number, since it is smaller than the sum of its proper divisors (10594009473957).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9909900099099 is a wasteful number, since it uses less digits than its factorization.

9909900099099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882418 (or 5882404 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

The spelling of 9909900099099 in words is "nine trillion, nine hundred nine billion, nine hundred million, ninety-nine thousand, ninety-nine".