111112101100 has 216 divisors, whose sum is σ = 329515503408. Its totient is φ = 31968115200.

The previous prime is 111112101097. The next prime is 111112101143. The reversal of 111112101100 is 1101211111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 621414 + ... + 779986.

It is an arithmetic number, because the mean of its divisors is an integer number (1525534738).

Almost surely, 2^111112101100 is an apocalyptic number.

111112101100 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 111112101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164757751704).

111112101100 is an abundant number, since it is smaller than the sum of its proper divisors (218403402308).

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

111112101100 is a wasteful number, since it uses less digits than its factorization.

111112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158625 (or 158611 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111112101100 its reverse (1101211111), we get a palindrome (112213312211).

It can be divided in two parts, 111112 and 101100, that added together give a palindrome (212212).

The spelling of 111112101100 in words is "one hundred eleven billion, one hundred twelve million, one hundred one thousand, one hundred".