122102100110033 has 2 divisors, whose sum is σ = 122102100110034. Its totient is φ = 122102100110032.

The previous prime is 122102100110021. The next prime is 122102100110129. The reversal of 122102100110033 is 330011001201221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95618808009169 + 26483292100864 = 9778487^2 + 5146192^2 .

It is a cyclic number.

It is not a de Polignac number, because 122102100110033 - 2⁸ = 122102100109777 is a prime.

It is a super-2 number, since 2×122102100110033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122102100109993 and 122102100110020.

It is not a weakly prime, because it can be changed into another prime (122102100110633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61051050055016 + 61051050055017.

It is an arithmetic number, because the mean of its divisors is an integer number (61051050055017).

Almost surely, 2^{122102100110033} is an apocalyptic number.

It is an amenable number.

122102100110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122102100110033 is an equidigital number, since it uses as much as digits as its factorization.

122102100110033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 122102100110033 its reverse (330011001201221), we get a palindrome (452113101311254).

The spelling of 122102100110033 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred million, one hundred ten thousand, thirty-three".