122221022122033 has 2 divisors, whose sum is σ = 122221022122034. Its totient is φ = 122221022122032.

The previous prime is 122221022122013. The next prime is 122221022122039. The reversal of 122221022122033 is 330221220122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111935807520784 + 10285214601249 = 10579972^2 + 3207057^2 .

It is a cyclic number.

It is not a de Polignac number, because 122221022122033 - 2²¹ = 122221020024881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122221022121989 and 122221022122007.

It is not a weakly prime, because it can be changed into another prime (122221022122039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110511061016 + 61110511061017.

It is an arithmetic number, because the mean of its divisors is an integer number (61110511061017).

Almost surely, 2^{122221022122033} is an apocalyptic number.

It is an amenable number.

122221022122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221022122033 is an equidigital number, since it uses as much as digits as its factorization.

122221022122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 122221022122033 its reverse (330221220122221), we get a palindrome (452442242244254).

The spelling of 122221022122033 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, thirty-three".