111102112010112 has 64 divisors (see below), whose sum is σ = 312474690046800. Its totient is φ = 34855564550144.

The previous prime is 111102112010083. The next prime is 111102112010167. The reversal of 111102112010112 is 211010211201111.

111102112010112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×111102112010112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111102112010091 and 111102112010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8509652787 + ... + 8509665842.

Almost surely, 2^{111102112010112} is an apocalyptic number.

111102112010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111102112010112 is an abundant number, since it is smaller than the sum of its proper divisors (201372578036688).

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

111102112010112 is a wasteful number, since it uses less digits than its factorization.

111102112010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17019318663 (or 17019318651 counting only the distinct ones).

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

Adding to 111102112010112 its reverse (211010211201111), we get a palindrome (322112323211223).

The spelling of 111102112010112 in words is "one hundred eleven trillion, one hundred two billion, one hundred twelve million, ten thousand, one hundred twelve".