112102111220022 has 256 divisors, whose sum is σ = 313847267328000. Its totient is φ = 28813246231680.

The previous prime is 112102111219997. The next prime is 112102111220051. The reversal of 112102111220022 is 220022111201211.

112102111220022 is a `hidden beast` number, since 1 + 1 + 210 + 211 + 1 + 220 + 0 + 22 = 666.

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 = 112102111219977 and 112102111220004.

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 127 ways as a sum of consecutive naturals, for example, 154486104 + ... + 155210052.

It is an arithmetic number, because the mean of its divisors is an integer number (1225965888000).

Almost surely, 2^{112102111220022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102111220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156923633664000).

112102111220022 is an abundant number, since it is smaller than the sum of its proper divisors (201745156107978).

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

112102111220022 is a wasteful number, since it uses less digits than its factorization.

112102111220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724368 (or 724362 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112102111220022 its reverse (220022111201211), we get a palindrome (332124222421233).

The spelling of 112102111220022 in words is "one hundred twelve trillion, one hundred two billion, one hundred eleven million, two hundred twenty thousand, twenty-two".