9099910090000 has 100 divisors (see below), whose sum is σ = 22034257265020. Its totient is φ = 3639556800000.

The previous prime is 9099910089967. The next prime is 9099910090001. The reversal of 9099910090000 is 900199909.

It can be written as a sum of positive squares in 10 ways, for example, as 1495817057296 + 7604093032704 = 1223036^2 + 2757552^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (9099910090001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98964046 + ... + 99055954.

Almost surely, 2^{9099910090000} 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 9099910090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11017128632510).

9099910090000 is an abundant number, since it is smaller than the sum of its proper divisors (12934347175020).

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

9099910090000 is an equidigital number, since it uses as much as digits as its factorization.

9099910090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101838 (or 101817 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 46.

The spelling of 9099910090000 in words is "nine trillion, ninety-nine billion, nine hundred ten million, ninety thousand".