122100110221217 has 2 divisors, whose sum is σ = 122100110221218. Its totient is φ = 122100110221216.

The previous prime is 122100110221181. The next prime is 122100110221253. The reversal of 122100110221217 is 712122011001221.

It is a balanced prime because it is at equal distance from previous prime (122100110221181) and next prime (122100110221253).

It can be written as a sum of positive squares in only one way, i.e., 61871816466496 + 60228293754721 = 7865864^2 + 7760689^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100110221217 - 2³⁸ = 121825232314273 is a prime.

It is a super-2 number, since 2×122100110221217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122100110221192 and 122100110221201.

It is not a weakly prime, because it can be changed into another prime (122100110281217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050055110608 + 61050055110609.

It is an arithmetic number, because the mean of its divisors is an integer number (61050055110609).

Almost surely, 2^{122100110221217} is an apocalyptic number.

It is an amenable number.

122100110221217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100110221217 is an equidigital number, since it uses as much as digits as its factorization.

122100110221217 is an odious number, because the sum of its binary digits is odd.

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

Adding to 122100110221217 its reverse (712122011001221), we get a palindrome (834222121222438).

The spelling of 122100110221217 in words is "one hundred twenty-two trillion, one hundred billion, one hundred ten million, two hundred twenty-one thousand, two hundred seventeen".