11101221022200 has 192 divisors, whose sum is σ = 35484717582720. Its totient is φ = 2868840000000.

The previous prime is 11101221022093. The next prime is 11101221022249. The reversal of 11101221022200 is 222012210111.

11101221022200 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 11101221022200.

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, 4576075 + ... + 6568325.

It is an arithmetic number, because the mean of its divisors is an integer number (184816237410).

Almost surely, 2^{11101221022200} is an apocalyptic number.

11101221022200 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 11101221022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17742358791360).

11101221022200 is an abundant number, since it is smaller than the sum of its proper divisors (24383496560520).

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

11101221022200 is a wasteful number, since it uses less digits than its factorization.

11101221022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992558 (or 1992549 counting only the distinct ones).

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

Adding to 11101221022200 its reverse (222012210111), we get a palindrome (11323233232311).

The spelling of 11101221022200 in words is "eleven trillion, one hundred one billion, two hundred twenty-one million, twenty-two thousand, two hundred".