11201200111100 has 72 divisors (see below), whose sum is σ = 24565276315440. Its totient is φ = 4432939463680.

The previous prime is 11201200111051. The next prime is 11201200111103. The reversal of 11201200111100 is 111100210211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201200111103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5481566 + ... + 7242234.

It is an arithmetic number, because the mean of its divisors is an integer number (341184393270).

Almost surely, 2^{11201200111100} is an apocalyptic number.

11201200111100 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 11201200111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282638157720).

11201200111100 is an abundant number, since it is smaller than the sum of its proper divisors (13364076204340).

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

11201200111100 is a wasteful number, since it uses less digits than its factorization.

11201200111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761359 (or 1761352 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11201200111100 its reverse (111100210211), we get a palindrome (11312300321311).

The spelling of 11201200111100 in words is "eleven trillion, two hundred one billion, two hundred million, one hundred eleven thousand, one hundred".