211020112021217 has 2 divisors, whose sum is σ = 211020112021218. Its totient is φ = 211020112021216.

The previous prime is 211020112021177. The next prime is 211020112021261. The reversal of 211020112021217 is 712120211020112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209951956698961 + 1068155322256 = 14489719^2 + 1033516^2 .

It is a cyclic number.

It is not a de Polignac number, because 211020112021217 - 2²⁴ = 211020095244001 is a prime.

It is a super-2 number, since 2×211020112021217² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211020112021192 and 211020112021201.

It is not a weakly prime, because it can be changed into another prime (211020112021417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105510056010608 + 105510056010609.

It is an arithmetic number, because the mean of its divisors is an integer number (105510056010609).

Almost surely, 2^{211020112021217} is an apocalyptic number.

It is an amenable number.

211020112021217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211020112021217 is an equidigital number, since it uses as much as digits as its factorization.

211020112021217 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 211020112021217 its reverse (712120211020112), we get a palindrome (923140323041329).

The spelling of 211020112021217 in words is "two hundred eleven trillion, twenty billion, one hundred twelve million, twenty-one thousand, two hundred seventeen".