11201221211100 has 36 divisors (see below), whose sum is σ = 32408866704984. Its totient is φ = 2986992322880.

The previous prime is 11201221211099. The next prime is 11201221211123. The reversal of 11201221211100 is 111212210211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11201221211100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18668701719 + ... + 18668702318.

Almost surely, 2^{11201221211100} is an apocalyptic number.

11201221211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201221211100 is an abundant number, since it is smaller than the sum of its proper divisors (21207645493884).

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

11201221211100 is a wasteful number, since it uses less digits than its factorization.

11201221211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37337404054 (or 37337404047 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11201221211100 its reverse (111212210211), we get a palindrome (11312433421311).

The spelling of 11201221211100 in words is "eleven trillion, two hundred one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred".