11111120011100 has 72 divisors (see below), whose sum is σ = 24717944512800. Its totient is φ = 4332757350400.

The previous prime is 11111120011097. The next prime is 11111120011163. The reversal of 11111120011100 is 111002111111.

It is a happy number.

11111120011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11111120011100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4380596 + ... + 6435204.

It is an arithmetic number, because the mean of its divisors is an integer number (343304784900).

Almost surely, 2^{11111120011100} is an apocalyptic number.

11111120011100 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 11111120011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358972256400).

11111120011100 is an abundant number, since it is smaller than the sum of its proper divisors (13606824501700).

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

11111120011100 is a wasteful number, since it uses less digits than its factorization.

11111120011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055983 (or 2055976 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 11111120011100 its reverse (111002111111), we get a palindrome (11222122122211).

The spelling of 11111120011100 in words is "eleven trillion, one hundred eleven billion, one hundred twenty million, eleven thousand, one hundred".