111000102112 has 96 divisors (see below), whose sum is σ = 231447041280. Its totient is φ = 52325683200.

The previous prime is 111000102067. The next prime is 111000102121. The reversal of 111000102112 is 211201000111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6834033 + ... + 6850255.

It is an arithmetic number, because the mean of its divisors is an integer number (2410906680).

Almost surely, 2^111000102112 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 111000102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115723520640).

111000102112 is an abundant number, since it is smaller than the sum of its proper divisors (120446939168).

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

111000102112 is a wasteful number, since it uses less digits than its factorization.

111000102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 16428 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111000102112 its reverse (211201000111), we get a palindrome (322201102223).

The spelling of 111000102112 in words is "one hundred eleven billion, one hundred two thousand, one hundred twelve".