11201221110200 has 192 divisors, whose sum is σ = 29397344342400. Its totient is φ = 3931739481600.

The previous prime is 11201221110169. The next prime is 11201221110257. The reversal of 11201221110200 is 201112210211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285995819 + ... + 286034981.

It is an arithmetic number, because the mean of its divisors is an integer number (153111168450).

Almost surely, 2^{11201221110200} is an apocalyptic number.

11201221110200 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 11201221110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14698672171200).

11201221110200 is an abundant number, since it is smaller than the sum of its proper divisors (18196123232200).

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

11201221110200 is a wasteful number, since it uses less digits than its factorization.

11201221110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43702 (or 43693 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11201221110200 its reverse (201112210211), we get a palindrome (11402333320411).

It can be divided in two parts, 1120122 and 1110200, that added together give a palindrome (2230322).

The spelling of 11201221110200 in words is "eleven trillion, two hundred one billion, two hundred twenty-one million, one hundred ten thousand, two hundred".