112201210021122 has 96 divisors (see below), whose sum is σ = 251227951818480. Its totient is φ = 36163224852480.

The previous prime is 112201210021097. The next prime is 112201210021169. The reversal of 112201210021122 is 221120012102211.

112201210021122 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 210 + 0 + 211 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 56986932962961 + 55214277058161 = 7548969^2 + 7430631^2 .

It is a super-2 number, since 2×112201210021122² (a number of 29 digits) contains 22 as substring.

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 = 112201210021095 and 112201210021104.

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 47 ways as a sum of consecutive naturals, for example, 172417654 + ... + 173067182.

Almost surely, 2^{112201210021122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112201210021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125613975909240).

112201210021122 is an abundant number, since it is smaller than the sum of its proper divisors (139026741797358).

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

112201210021122 is a wasteful number, since it uses less digits than its factorization.

112201210021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651188 (or 651185 counting only the distinct ones).

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

Adding to 112201210021122 its reverse (221120012102211), we get a palindrome (333321222123333).

The spelling of 112201210021122 in words is "one hundred twelve trillion, two hundred one billion, two hundred ten million, twenty-one thousand, one hundred twenty-two".