112102102222002 has 160 divisors (see below), whose sum is σ = 255759541678080. Its totient is φ = 36691542660960.

The previous prime is 112102102221973. The next prime is 112102102222013. The reversal of 112102102222002 is 200222201201211.

It is a happy number.

112102102222002 is a `hidden beast` number, since 1 + 1 + 210 + 210 + 22 + 220 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10082025399 + ... + 10082036517.

It is an arithmetic number, because the mean of its divisors is an integer number (1598497135488).

Almost surely, 2^{112102102222002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102102222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127879770839040).

112102102222002 is an abundant number, since it is smaller than the sum of its proper divisors (143657439456078).

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

112102102222002 is a wasteful number, since it uses less digits than its factorization.

112102102222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098 (or 14089 counting only the distinct ones).

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

Adding to 112102102222002 its reverse (200222201201211), we get a palindrome (312324303423213).

The spelling of 112102102222002 in words is "one hundred twelve trillion, one hundred two billion, one hundred two million, two hundred twenty-two thousand, two".