11111111211100 has 144 divisors (see below), whose sum is σ = 26625095884800. Its totient is φ = 4008076128000.

The previous prime is 11111111211059. The next prime is 11111111211113. The reversal of 11111111211100 is 111211111111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492005 + ... + 5332195.

It is an arithmetic number, because the mean of its divisors is an integer number (184896499200).

Almost surely, 2^{11111111211100} is an apocalyptic number.

11111111211100 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 11111111211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312547942400).

11111111211100 is an abundant number, since it is smaller than the sum of its proper divisors (15513984673700).

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

11111111211100 is a wasteful number, since it uses less digits than its factorization.

11111111211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840324 (or 2840317 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 11111111211100 its reverse (111211111111), we get a palindrome (11222322322211).

The spelling of 11111111211100 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, two hundred eleven thousand, one hundred".