9900999990100 has 144 divisors (see below), whose sum is σ = 21885704850240. Its totient is φ = 3887326080000.

The previous prime is 9900999990083. The next prime is 9900999990113. The reversal of 9900999990100 is 10999990099.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 685800082 + ... + 685814518.

It is an arithmetic number, because the mean of its divisors is an integer number (151984061460).

Almost surely, 2^{9900999990100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9900999990100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10942852425120).

9900999990100 is an abundant number, since it is smaller than the sum of its proper divisors (11984704860140).

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

9900999990100 is a wasteful number, since it uses less digits than its factorization.

9900999990100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15098 (or 15091 counting only the distinct ones).

The product of its (nonzero) digits is 4782969, while the sum is 64.

It can be divided in two parts, 9900 and 999990100, that added together give a 9-th power (1000000000 = 10⁹).

The spelling of 9900999990100 in words is "nine trillion, nine hundred billion, nine hundred ninety-nine million, nine hundred ninety thousand, one hundred".