221111111112201 has 16 divisors (see below), whose sum is σ = 327572262388800. Its totient is φ = 147407296741344.

The previous prime is 221111111112193. The next prime is 221111111112211. The reversal of 221111111112201 is 102211111111122.

221111111112201 is a `hidden beast` number, since 221 + 1 + 1 + 111 + 111 + 220 + 1 = 666.

It is not a de Polignac number, because 221111111112201 - 2³ = 221111111112193 is a prime.

It is a super-3 number, since 3×221111111112201³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (221111111112211) 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 15 ways as a sum of consecutive naturals, for example, 50586370 + ... + 54783236.

It is an arithmetic number, because the mean of its divisors is an integer number (20473266399300).

Almost surely, 2^{221111111112201} is an apocalyptic number.

It is an amenable number.

221111111112201 is a deficient number, since it is larger than the sum of its proper divisors (106461151276599).

221111111112201 is a wasteful number, since it uses less digits than its factorization.

221111111112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148165 (or 6148159 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 221111111112201 its reverse (102211111111122), we get a palindrome (323322222223323).

The spelling of 221111111112201 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred eleven million, one hundred twelve thousand, two hundred one".