112221201010122 has 192 divisors, whose sum is σ = 269247046588416. Its totient is φ = 33657204810240.

The previous prime is 112221201010111. The next prime is 112221201010129. The reversal of 112221201010122 is 221010102122211.

112221201010122 is a `hidden beast` number, since 112 + 221 + 201 + 0 + 10 + 122 = 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 = 112221201010095 and 112221201010104.

It is not an unprimeable number, because it can be changed into a prime (112221201010129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480914508 + ... + 481147800.

It is an arithmetic number, because the mean of its divisors is an integer number (1402328367648).

Almost surely, 2^{112221201010122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112221201010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134623523294208).

112221201010122 is an abundant number, since it is smaller than the sum of its proper divisors (157025845578294).

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

112221201010122 is a wasteful number, since it uses less digits than its factorization.

112221201010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234405 (or 234402 counting only the distinct ones).

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

Adding to 112221201010122 its reverse (221010102122211), we get a palindrome (333231303132333).

The spelling of 112221201010122 in words is "one hundred twelve trillion, two hundred twenty-one billion, two hundred one million, ten thousand, one hundred twenty-two".