122123321103331 has 2 divisors, whose sum is σ = 122123321103332. Its totient is φ = 122123321103330.

The previous prime is 122123321103307. The next prime is 122123321103359. The reversal of 122123321103331 is 133301123321221.

It is an a-pointer prime, because the next prime (122123321103359) can be obtained adding 122123321103331 to its sum of digits (28).

It is a weak prime.

It is an emirp because it is prime and its reverse (133301123321221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122123321103331 - 2²³ = 122123312714723 is a prime.

It is a super-2 number, since 2×122123321103331² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122123321103331.

It is not a weakly prime, because it can be changed into another prime (122123321103431) 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, 61061660551665 + 61061660551666.

It is an arithmetic number, because the mean of its divisors is an integer number (61061660551666).

Almost surely, 2^{122123321103331} is an apocalyptic number.

122123321103331 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123321103331 is an equidigital number, since it uses as much as digits as its factorization.

122123321103331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 122123321103331 its reverse (133301123321221), we get a palindrome (255424444424552).

The spelling of 122123321103331 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred three thousand, three hundred thirty-one".