212121212222041 has 2 divisors, whose sum is σ = 212121212222042. Its totient is φ = 212121212222040.

The previous prime is 212121212222039. The next prime is 212121212222083. The reversal of 212121212222041 is 140222212121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211953416304400 + 167795917641 = 14558620^2 + 409629^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121212222041 - 2¹ = 212121212222039 is a prime.

It is a super-2 number, since 2×212121212222041² (a number of 29 digits) contains 22 as substring.

Together with 212121212222039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 212121212221997 and 212121212222015.

It is not a weakly prime, because it can be changed into another prime (212121212222341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060606111020 + 106060606111021.

It is an arithmetic number, because the mean of its divisors is an integer number (106060606111021).

Almost surely, 2^{212121212222041} is an apocalyptic number.

It is an amenable number.

212121212222041 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121212222041 is an equidigital number, since it uses as much as digits as its factorization.

212121212222041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 212121212222041 its reverse (140222212121212), we get a palindrome (352343424343253).

The spelling of 212121212222041 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, forty-one".