111102112121112 has 144 divisors (see below), whose sum is σ = 350039048580000. Its totient is φ = 31742489278080.

The previous prime is 111102112121059. The next prime is 111102112121123. The reversal of 111102112121112 is 211121211201111.

It is a super-4 number, since 4×111102112121112⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 119032014 + ... + 119961762.

It is an arithmetic number, because the mean of its divisors is an integer number (2430826726250).

Almost surely, 2^{111102112121112} is an apocalyptic number.

111102112121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111102112121112 is an abundant number, since it is smaller than the sum of its proper divisors (238936936458888).

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

111102112121112 is a wasteful number, since it uses less digits than its factorization.

111102112121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963646 (or 963632 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 111102112121112 its reverse (211121211201111), we get a palindrome (322223323322223).

The spelling of 111102112121112 in words is "one hundred eleven trillion, one hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twelve".