122122021222601 has 2 divisors, whose sum is σ = 122122021222602. Its totient is φ = 122122021222600.

The previous prime is 122122021222583. The next prime is 122122021222613. The reversal of 122122021222601 is 106222120221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111455421990025 + 10666599232576 = 10557245^2 + 3265976^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122122021222601 is a prime.

It is not a weakly prime, because it can be changed into another prime (122122021222631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061010611300 + 61061010611301.

It is an arithmetic number, because the mean of its divisors is an integer number (61061010611301).

Almost surely, 2^{122122021222601} is an apocalyptic number.

It is an amenable number.

122122021222601 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122021222601 is an equidigital number, since it uses as much as digits as its factorization.

122122021222601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 122122021222601 its reverse (106222120221221), we get a palindrome (228344141443822).

The spelling of 122122021222601 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, twenty-one million, two hundred twenty-two thousand, six hundred one".