21222112111201 has 16 divisors (see below), whose sum is σ = 22781783811600. Its totient is φ = 19697114677248.

The previous prime is 21222112111111. The next prime is 21222112111219. The reversal of 21222112111201 is 10211121122212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1591886890000 + 19630225221201 = 1261700^2 + 4430601^2 .

It is not a de Polignac number, because 21222112111201 - 2¹⁹ = 21222111586913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21222112117201) 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 15 ways as a sum of consecutive naturals, for example, 6792885 + ... + 9412093.

It is an arithmetic number, because the mean of its divisors is an integer number (1423861488225).

Almost surely, 2^{21222112111201} is an apocalyptic number.

It is an amenable number.

21222112111201 is a deficient number, since it is larger than the sum of its proper divisors (1559671700399).

21222112111201 is a wasteful number, since it uses less digits than its factorization.

21222112111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625828.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 21222112111201 its reverse (10211121122212), we get a palindrome (31433233233413).

The spelling of 21222112111201 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred eleven thousand, two hundred one".