212401216241 has 2 divisors, whose sum is σ = 212401216242. Its totient is φ = 212401216240.

The previous prime is 212401216231. The next prime is 212401216243. The reversal of 212401216241 is 142612104212.

212401216241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198496089841 + 13905126400 = 445529^2 + 117920^2 .

It is a cyclic number.

It is not a de Polignac number, because 212401216241 - 2³⁰ = 211327474417 is a prime.

It is a super-2 number, since 2×212401216241² (a number of 23 digits) contains 22 as substring.

Together with 212401216243, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212401216241.

It is not a weakly prime, because it can be changed into another prime (212401216243) 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, 106200608120 + 106200608121.

It is an arithmetic number, because the mean of its divisors is an integer number (106200608121).

Almost surely, 2^212401216241 is an apocalyptic number.

It is an amenable number.

212401216241 is a deficient number, since it is larger than the sum of its proper divisors (1).

212401216241 is an equidigital number, since it uses as much as digits as its factorization.

212401216241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 212401216241 in words is "two hundred twelve billion, four hundred one million, two hundred sixteen thousand, two hundred forty-one".