11201112211100 has 144 divisors (see below), whose sum is σ = 28070382713856. Its totient is φ = 3800109600000.

The previous prime is 11201112211099. The next prime is 11201112211153. The reversal of 11201112211100 is 111221110211.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 121770125 + ... + 121862075.

Almost surely, 2^{11201112211100} is an apocalyptic number.

11201112211100 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 11201112211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035191356928).

11201112211100 is an abundant number, since it is smaller than the sum of its proper divisors (16869270502756).

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

11201112211100 is a wasteful number, since it uses less digits than its factorization.

11201112211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93796 (or 93789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11201112211100 its reverse (111221110211), we get a palindrome (11312333321311).

The spelling of 11201112211100 in words is "eleven trillion, two hundred one billion, one hundred twelve million, two hundred eleven thousand, one hundred".