122121110161 has 2 divisors, whose sum is σ = 122121110162. Its totient is φ = 122121110160.

The previous prime is 122121110159. The next prime is 122121110197. The reversal of 122121110161 is 161011121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68445024400 + 53676085761 = 261620^2 + 231681^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121110161 - 2¹ = 122121110159 is a prime.

Together with 122121110159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122121110861) 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, 61060555080 + 61060555081.

It is an arithmetic number, because the mean of its divisors is an integer number (61060555081).

Almost surely, 2^122121110161 is an apocalyptic number.

It is an amenable number.

122121110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121110161 is an equidigital number, since it uses as much as digits as its factorization.

122121110161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 122121110161 its reverse (161011121221), we get a palindrome (283132231382).

The spelling of 122121110161 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, one hundred sixty-one".