211021120000217 has 2 divisors, whose sum is σ = 211021120000218. Its totient is φ = 211021120000216.

The previous prime is 211021120000091. The next prime is 211021120000231. The reversal of 211021120000217 is 712000021120112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210411590036041 + 609529964176 = 14505571^2 + 780724^2 .

It is a cyclic number.

It is not a de Polignac number, because 211021120000217 - 2¹⁴ = 211021119983833 is a prime.

It is a super-2 number, since 2×211021120000217² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211021120000417) 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, 105510560000108 + 105510560000109.

It is an arithmetic number, because the mean of its divisors is an integer number (105510560000109).

Almost surely, 2^{211021120000217} is an apocalyptic number.

It is an amenable number.

211021120000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211021120000217 is an equidigital number, since it uses as much as digits as its factorization.

211021120000217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 211021120000217 its reverse (712000021120112), we get a palindrome (923021141120329).

The spelling of 211021120000217 in words is "two hundred eleven trillion, twenty-one billion, one hundred twenty million, two hundred seventeen", and thus it is an aban number.