2120216617 has 2 divisors, whose sum is σ = 2120216618. Its totient is φ = 2120216616.

The previous prime is 2120216537. The next prime is 2120216621. The reversal of 2120216617 is 7166120212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1973225241 + 146991376 = 44421^2 + 12124^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120216617 - 2¹⁹ = 2119692329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2120216017) 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, 1060108308 + 1060108309.

It is an arithmetic number, because the mean of its divisors is an integer number (1060108309).

Almost surely, 2^2120216617 is an apocalyptic number.

It is an amenable number.

2120216617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120216617 is an equidigital number, since it uses as much as digits as its factorization.

2120216617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2120216617 is about 46045.8099831027. The cubic root of 2120216617 is about 1284.6754098475.

Adding to 2120216617 its reverse (7166120212), we get a palindrome (9286336829).

The spelling of 2120216617 in words is "two billion, one hundred twenty million, two hundred sixteen thousand, six hundred seventeen".