706122111022121 has 2 divisors, whose sum is σ = 706122111022122. Its totient is φ = 706122111022120.

The previous prime is 706122111022061. The next prime is 706122111022123. The reversal of 706122111022121 is 121220111221607.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 547539595390096 + 158582515632025 = 23399564^2 + 12592955^2 .

It is an emirp because it is prime and its reverse (121220111221607) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 706122111022121 - 2¹⁰ = 706122111021097 is a prime.

Together with 706122111022123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (706122111022123) 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, 353061055511060 + 353061055511061.

It is an arithmetic number, because the mean of its divisors is an integer number (353061055511061).

Almost surely, 2^{706122111022121} is an apocalyptic number.

It is an amenable number.

706122111022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

706122111022121 is an equidigital number, since it uses as much as digits as its factorization.

706122111022121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 29.

Adding to 706122111022121 its reverse (121220111221607), we get a palindrome (827342222243728).

The spelling of 706122111022121 in words is "seven hundred six trillion, one hundred twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred twenty-one".