111100000011112 has 256 divisors, whose sum is σ = 253489475635200. Its totient is φ = 44663104512000.

The previous prime is 111100000011109. The next prime is 111100000011127. The reversal of 111100000011112 is 211110000001111.

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 63 ways as a sum of consecutive naturals, for example, 2011596714 + ... + 2011651942.

It is an arithmetic number, because the mean of its divisors is an integer number (990193264200).

Almost surely, 2^{111100000011112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111100000011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126744737817600).

111100000011112 is an abundant number, since it is smaller than the sum of its proper divisors (142389475624088).

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

111100000011112 is a wasteful number, since it uses less digits than its factorization.

111100000011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55668 (or 55664 counting only the distinct ones).

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

Adding to 111100000011112 its reverse (211110000001111), we get a palindrome (322210000012223).

It can be divided in two parts, 11110000001111 and 2, that multiplied together give a palindrome (22220000002222).

The spelling of 111100000011112 in words is "one hundred eleven trillion, one hundred billion, eleven thousand, one hundred twelve".