212112101101221 has 12 divisors (see below), whose sum is σ = 306502304243148. Its totient is φ = 141353532843264.

The previous prime is 212112101101157. The next prime is 212112101101261. The reversal of 212112101101221 is 122101101211212.

It is a happy number.

212112101101221 is a `hidden beast` number, since 2 + 121 + 1 + 210 + 110 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74037592340100 + 138074508761121 = 8604510^2 + 11750511^2 .

It is not a de Polignac number, because 212112101101221 - 2⁶ = 212112101101157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212112101101194 and 212112101101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112101101261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4544521830 + ... + 4544568503.

It is an arithmetic number, because the mean of its divisors is an integer number (25541858686929).

Almost surely, 2^{212112101101221} is an apocalyptic number.

It is an amenable number.

212112101101221 is a deficient number, since it is larger than the sum of its proper divisors (94390203141927).

212112101101221 is a wasteful number, since it uses less digits than its factorization.

212112101101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9089092932 (or 9089092929 counting only the distinct ones).

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

Adding to 212112101101221 its reverse (122101101211212), we get a palindrome (334213202312433).

The spelling of 212112101101221 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred one million, one hundred one thousand, two hundred twenty-one".