20102211122017 has 2 divisors, whose sum is σ = 20102211122018. Its totient is φ = 20102211122016.

The previous prime is 20102211122011. The next prime is 20102211122099. The reversal of 20102211122017 is 71022111220102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17050589943696 + 3051621178321 = 4129236^2 + 1746889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20102211122017 is a prime.

It is not a weakly prime, because it can be changed into another prime (20102211122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051105561008 + 10051105561009.

It is an arithmetic number, because the mean of its divisors is an integer number (10051105561009).

Almost surely, 2^{20102211122017} is an apocalyptic number.

It is an amenable number.

20102211122017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102211122017 is an equidigital number, since it uses as much as digits as its factorization.

20102211122017 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 22.

Adding to 20102211122017 its reverse (71022111220102), we get a palindrome (91124322342119).

The spelling of 20102211122017 in words is "twenty trillion, one hundred two billion, two hundred eleven million, one hundred twenty-two thousand, seventeen".