122143144220033 has 2 divisors, whose sum is σ = 122143144220034. Its totient is φ = 122143144220032.

The previous prime is 122143144219937. The next prime is 122143144220051. The reversal of 122143144220033 is 330022441341221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122132823082384 + 10321137649 = 11051372^2 + 101593^2 .

It is an emirp because it is prime and its reverse (330022441341221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122143144220033 - 2³⁴ = 122125964350849 is a prime.

It is not a weakly prime, because it can be changed into another prime (122143144220633) 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, 61071572110016 + 61071572110017.

It is an arithmetic number, because the mean of its divisors is an integer number (61071572110017).

Almost surely, 2^{122143144220033} is an apocalyptic number.

It is an amenable number.

122143144220033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122143144220033 is an equidigital number, since it uses as much as digits as its factorization.

122143144220033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 122143144220033 its reverse (330022441341221), we get a palindrome (452165585561254).

The spelling of 122143144220033 in words is "one hundred twenty-two trillion, one hundred forty-three billion, one hundred forty-four million, two hundred twenty thousand, thirty-three".