122201101102217 has 2 divisors, whose sum is σ = 122201101102218. Its totient is φ = 122201101102216.

The previous prime is 122201101102139. The next prime is 122201101102231. The reversal of 122201101102217 is 712201101102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92969301759481 + 29231799342736 = 9642059^2 + 5406644^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201101102217 - 2¹⁸ = 122201100840073 is a prime.

It is a super-2 number, since 2×122201101102217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122201101102192 and 122201101102201.

It is not a weakly prime, because it can be changed into another prime (122201401102217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100550551108 + 61100550551109.

It is an arithmetic number, because the mean of its divisors is an integer number (61100550551109).

Almost surely, 2^{122201101102217} is an apocalyptic number.

It is an amenable number.

122201101102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201101102217 is an equidigital number, since it uses as much as digits as its factorization.

122201101102217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 122201101102217 its reverse (712201101102221), we get a palindrome (834402202204438).

The spelling of 122201101102217 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred one million, one hundred two thousand, two hundred seventeen".