122121112121 has 2 divisors, whose sum is σ = 122121112122. Its totient is φ = 122121112120.

The previous prime is 122121112097. The next prime is 122121112159. The reversal of 122121112121 is 121211121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83336142400 + 38784969721 = 288680^2 + 196939^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121112121 - 2¹⁰ = 122121111097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122121112121.

It is not a weakly prime, because it can be changed into another prime (122121112171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060556060 + 61060556061.

It is an arithmetic number, because the mean of its divisors is an integer number (61060556061).

Almost surely, 2^122121112121 is an apocalyptic number.

It is an amenable number.

122121112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121112121 is an equidigital number, since it uses as much as digits as its factorization.

122121112121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32, while the sum is 17.

Adding to 122121112121 its reverse (121211121221), we get a palindrome (243332233342).

It can be divided in two parts, 1 and 22121112121, that added together give a palindrome (22121112122).

The spelling of 122121112121 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".