212121201212101 has 2 divisors, whose sum is σ = 212121201212102. Its totient is φ = 212121201212100.

The previous prime is 212121201212087. The next prime is 212121201212143. The reversal of 212121201212101 is 101212102121212.

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., 206724756061476 + 5396445150625 = 14377926^2 + 2323025^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121201212101 - 2⁷ = 212121201211973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121201212161) 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 as a sum of consecutive naturals, namely, 106060600606050 + 106060600606051.

It is an arithmetic number, because the mean of its divisors is an integer number (106060600606051).

Almost surely, 2^{212121201212101} is an apocalyptic number.

It is an amenable number.

212121201212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121201212101 is an equidigital number, since it uses as much as digits as its factorization.

212121201212101 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 212121201212101 its reverse (101212102121212), we get a palindrome (313333303333313).

The spelling of 212121201212101 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred one million, two hundred twelve thousand, one hundred one".