11201021122200 has 576 divisors, whose sum is σ = 44675064675360. Its totient is φ = 2299416698880.

The previous prime is 11201021122199. The next prime is 11201021122219. The reversal of 11201021122200 is 222112010211.

11201021122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11201021122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13745364 + ... + 14537436.

Almost surely, 2^{11201021122200} is an apocalyptic number.

11201021122200 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 11201021122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22337532337680).

11201021122200 is an abundant number, since it is smaller than the sum of its proper divisors (33474043553160).

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

11201021122200 is a wasteful number, since it uses less digits than its factorization.

11201021122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792156 (or 792140 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11201021122200 its reverse (222112010211), we get a palindrome (11423133132411).

The spelling of 11201021122200 in words is "eleven trillion, two hundred one billion, twenty-one million, one hundred twenty-two thousand, two hundred".