111011002112112 has 20 divisors (see below), whose sum is σ = 286778422123080. Its totient is φ = 37003667370688.

The previous prime is 111011002112077. The next prime is 111011002112201. The reversal of 111011002112112 is 211211200110111.

It is a junction number, because it is equal to n+sod(n) for n = 111011002112091 and 111011002112100.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1156364605287 + ... + 1156364605382.

It is an arithmetic number, because the mean of its divisors is an integer number (14338921106154).

Almost surely, 2^{111011002112112} is an apocalyptic number.

111011002112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111011002112112 is an abundant number, since it is smaller than the sum of its proper divisors (175767420010968).

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

111011002112112 is a wasteful number, since it uses less digits than its factorization.

111011002112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312729210680 (or 2312729210674 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111011002112112 its reverse (211211200110111), we get a palindrome (322222202222223).

The spelling of 111011002112112 in words is "one hundred eleven trillion, eleven billion, two million, one hundred twelve thousand, one hundred twelve".