12212112212101 has 2 divisors, whose sum is σ = 12212112212102. Its totient is φ = 12212112212100.

The previous prime is 12212112212089. The next prime is 12212112212119. The reversal of 12212112212101 is 10121221121221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7886835339201 + 4325276872900 = 2808351^2 + 2079730^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212112212101 - 2⁷ = 12212112211973 is a prime.

It is a super-2 number, since 2×12212112212101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12212112212161) 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 as a sum of consecutive naturals, namely, 6106056106050 + 6106056106051.

It is an arithmetic number, because the mean of its divisors is an integer number (6106056106051).

Almost surely, 2^{12212112212101} is an apocalyptic number.

It is an amenable number.

12212112212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212112212101 is an equidigital number, since it uses as much as digits as its factorization.

12212112212101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12212112212101 its reverse (10121221121221), we get a palindrome (22333333333322).

The spelling of 12212112212101 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, two hundred twelve thousand, one hundred one".