112201201102221 has 128 divisors (see below), whose sum is σ = 210939793920000. Its totient is φ = 57247612047360.

The previous prime is 112201201102217. The next prime is 112201201102261. The reversal of 112201201102221 is 122201102102211.

112201201102221 is a `hidden beast` number, since 1 + 1 + 220 + 120 + 1 + 102 + 221 = 666.

It is not a de Polignac number, because 112201201102221 - 2² = 112201201102217 is a prime.

It is a super-2 number, since 2×112201201102221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112201201102194 and 112201201102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201201102261) by changing a digit.

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, 138079165 + ... + 138889373.

It is an arithmetic number, because the mean of its divisors is an integer number (1647967140000).

Almost surely, 2^{112201201102221} is an apocalyptic number.

112201201102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112201201102221 is a deficient number, since it is larger than the sum of its proper divisors (98738592817779).

112201201102221 is a wasteful number, since it uses less digits than its factorization.

112201201102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811424 (or 811418 counting only the distinct ones).

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

Adding to 112201201102221 its reverse (122201102102211), we get a palindrome (234402303204432).

The spelling of 112201201102221 in words is "one hundred twelve trillion, two hundred one billion, two hundred one million, one hundred two thousand, two hundred twenty-one".