112102102224 has 160 divisors (see below), whose sum is σ = 369487303680. Its totient is φ = 31877193600.

The previous prime is 112102102207. The next prime is 112102102237. The reversal of 112102102224 is 422201201211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112102102197 and 112102102206.

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 31 ways as a sum of consecutive naturals, for example, 550219 + ... + 725909.

It is an arithmetic number, because the mean of its divisors is an integer number (2309295648).

Almost surely, 2^112102102224 is an apocalyptic number.

112102102224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184743651840).

112102102224 is an abundant number, since it is smaller than the sum of its proper divisors (257385201456).

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

112102102224 is a wasteful number, since it uses less digits than its factorization.

112102102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175926 (or 175914 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112102102224 its reverse (422201201211), we get a palindrome (534303303435).

The spelling of 112102102224 in words is "one hundred twelve billion, one hundred two million, one hundred two thousand, two hundred twenty-four".