112201211011221 has 192 divisors, whose sum is σ = 183776593029120. Its totient is φ = 68190979127040.

The previous prime is 112201211011193. The next prime is 112201211011243. The reversal of 112201211011221 is 122110112102211.

It is a happy number.

112201211011221 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 211 + 0 + 11 + 221 = 666.

It is not a de Polignac number, because 112201211011221 - 2⁹ = 112201211010709 is a prime.

It is a super-2 number, since 2×112201211011221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112201211011194 and 112201211011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201211011121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4907963331 + ... + 4907986191.

It is an arithmetic number, because the mean of its divisors is an integer number (957169755360).

Almost surely, 2^{112201211011221} is an apocalyptic number.

It is an amenable number.

112201211011221 is a deficient number, since it is larger than the sum of its proper divisors (71575382017899).

112201211011221 is a wasteful number, since it uses less digits than its factorization.

112201211011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23318 (or 23306 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112201211011221 its reverse (122110112102211), we get a palindrome (234311323113432).

The spelling of 112201211011221 in words is "one hundred twelve trillion, two hundred one billion, two hundred eleven million, eleven thousand, two hundred twenty-one".