11201100201200 has 240 divisors, whose sum is σ = 33189989038080. Its totient is φ = 3537557314560.

The previous prime is 11201100201103. The next prime is 11201100201223. The reversal of 11201100201200 is 210200110211.

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, 17114387 + ... + 17756813.

It is an arithmetic number, because the mean of its divisors is an integer number (138291620992).

Almost surely, 2^{11201100201200} is an apocalyptic number.

11201100201200 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 11201100201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594994519040).

11201100201200 is an abundant number, since it is smaller than the sum of its proper divisors (21988888836880).

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

11201100201200 is a wasteful number, since it uses less digits than its factorization.

11201100201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642944 (or 642933 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11201100201200 its reverse (210200110211), we get a palindrome (11411300311411).

The spelling of 11201100201200 in words is "eleven trillion, two hundred one billion, one hundred million, two hundred one thousand, two hundred".