111111101100 has 216 divisors, whose sum is σ = 353552319120. Its totient is φ = 29183639040.

The previous prime is 111111101089. The next prime is 111111101119. The reversal of 111111101100 is 1101111111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16968027 + ... + 16974573.

Almost surely, 2^111111101100 is an apocalyptic number.

111111101100 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 111111101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176776159560).

111111101100 is an abundant number, since it is smaller than the sum of its proper divisors (242441218020).

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

111111101100 is a wasteful number, since it uses less digits than its factorization.

111111101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6849 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 111111101100 its reverse (1101111111), we get a palindrome (112212212211).

The spelling of 111111101100 in words is "one hundred eleven billion, one hundred eleven million, one hundred one thousand, one hundred".