20121102222017 has 2 divisors, whose sum is σ = 20121102222018. Its totient is φ = 20121102222016.

The previous prime is 20121102221989. The next prime is 20121102222029. The reversal of 20121102222017 is 71022220112102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15468457536016 + 4652644686001 = 3932996^2 + 2156999^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121102222017 - 2⁴² = 15723055710913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121102221983 and 20121102222001.

It is not a weakly prime, because it can be changed into another prime (20121102222047) 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, 10060551111008 + 10060551111009.

It is an arithmetic number, because the mean of its divisors is an integer number (10060551111009).

Almost surely, 2^{20121102222017} is an apocalyptic number.

It is an amenable number.

20121102222017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121102222017 is an equidigital number, since it uses as much as digits as its factorization.

20121102222017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 20121102222017 its reverse (71022220112102), we get a palindrome (91143322334119).

The spelling of 20121102222017 in words is "twenty trillion, one hundred twenty-one billion, one hundred two million, two hundred twenty-two thousand, seventeen".