10991100100000 has 288 divisors, whose sum is σ = 28684412798832. Its totient is φ = 4131072000000.

The previous prime is 10991100099997. The next prime is 10991100100009. The reversal of 10991100100000 is 100119901.

It can be written as a sum of positive squares in 24 ways, for example, as 6109775465616 + 4881324634384 = 2471796^2 + 2209372^2 .

It is not an unprimeable number, because it can be changed into a prime (10991100100009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110095050 + ... + 1110104950.

Almost surely, 2^{10991100100000} is an apocalyptic number.

10991100100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10991100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342206399416).

10991100100000 is an abundant number, since it is smaller than the sum of its proper divisors (17693312698832).

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

10991100100000 is an frugal number, since it uses more digits than its factorization.

10991100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

Adding to 10991100100000 its reverse (100119901), we get a palindrome (10991200219901).

The spelling of 10991100100000 in words is "ten trillion, nine hundred ninety-one billion, one hundred million, one hundred thousand".