11110223111100 has 288 divisors, whose sum is σ = 33769650645696. Its totient is φ = 2817309081600.

The previous prime is 11110223111093. The next prime is 11110223111111. The reversal of 11110223111100 is 111132201111.

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 11110223111100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106252444 + ... + 106356956.

Almost surely, 2^{11110223111100} is an apocalyptic number.

11110223111100 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 11110223111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16884825322848).

11110223111100 is an abundant number, since it is smaller than the sum of its proper divisors (22659427534596).

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

11110223111100 is a wasteful number, since it uses less digits than its factorization.

11110223111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104785 (or 104778 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11110223111100 its reverse (111132201111), we get a palindrome (11221355312211).

The spelling of 11110223111100 in words is "eleven trillion, one hundred ten billion, two hundred twenty-three million, one hundred eleven thousand, one hundred".