11201100110000 has 100 divisors (see below), whose sum is σ = 27993790169664. Its totient is φ = 4335909600000.

The previous prime is 11201100109981. The next prime is 11201100110017. The reversal of 11201100110000 is 1100110211.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11201100110000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17756291 + ... + 18376290.

Almost surely, 2^{11201100110000} is an apocalyptic number.

11201100110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201100110000 is an abundant number, since it is smaller than the sum of its proper divisors (16792690059664).

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

11201100110000 is an equidigital number, since it uses as much as digits as its factorization.

11201100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36132640 (or 36132619 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11201100110000 its reverse (1100110211), we get a palindrome (11202200220211).

The spelling of 11201100110000 in words is "eleven trillion, two hundred one billion, one hundred million, one hundred ten thousand".