122123012032321 has 2 divisors, whose sum is σ = 122123012032322. Its totient is φ = 122123012032320.

The previous prime is 122123012032319. The next prime is 122123012032327. The reversal of 122123012032321 is 123230210321221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63521920164096 + 58601091868225 = 7970064^2 + 7655135^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123012032321 - 2¹ = 122123012032319 is a prime.

Together with 122123012032319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122123012032327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061506016160 + 61061506016161.

It is an arithmetic number, because the mean of its divisors is an integer number (61061506016161).

Almost surely, 2^{122123012032321} is an apocalyptic number.

It is an amenable number.

122123012032321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123012032321 is an equidigital number, since it uses as much as digits as its factorization.

122123012032321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122123012032321 its reverse (123230210321221), we get a palindrome (245353222353542).

The spelling of 122123012032321 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, twelve million, thirty-two thousand, three hundred twenty-one".