122203333321001 has 2 divisors, whose sum is σ = 122203333321002. Its totient is φ = 122203333321000.

The previous prime is 122203333320973. The next prime is 122203333321007. The reversal of 122203333321001 is 100123333302221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121422239718976 + 781093602025 = 11019176^2 + 883795^2 .

It is an emirp because it is prime and its reverse (100123333302221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122203333321001 - 2⁴² = 117805286809897 is a prime.

It is not a weakly prime, because it can be changed into another prime (122203333321007) 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, 61101666660500 + 61101666660501.

It is an arithmetic number, because the mean of its divisors is an integer number (61101666660501).

Almost surely, 2^{122203333321001} is an apocalyptic number.

It is an amenable number.

122203333321001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122203333321001 is an equidigital number, since it uses as much as digits as its factorization.

122203333321001 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 26.

Adding to 122203333321001 its reverse (100123333302221), we get a palindrome (222326666623222).

The spelling of 122203333321001 in words is "one hundred twenty-two trillion, two hundred three billion, three hundred thirty-three million, three hundred twenty-one thousand, one".