11110044101100 has 432 divisors, whose sum is σ = 39057063687936. Its totient is φ = 2426660544000.

The previous prime is 11110044101083. The next prime is 11110044101147. The reversal of 11110044101100 is 110144001111.

11110044101100 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 11110044101100.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 358708615 + ... + 358739585.

It is an arithmetic number, because the mean of its divisors is an integer number (90409869648).

Almost surely, 2^{11110044101100} is an apocalyptic number.

11110044101100 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 11110044101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19528531843968).

11110044101100 is an abundant number, since it is smaller than the sum of its proper divisors (27947019586836).

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

11110044101100 is a wasteful number, since it uses less digits than its factorization.

11110044101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32086 (or 32072 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11110044101100 its reverse (110144001111), we get a palindrome (11220188102211).

The spelling of 11110044101100 in words is "eleven trillion, one hundred ten billion, forty-four million, one hundred one thousand, one hundred".