211212212100017 has 2 divisors, whose sum is σ = 211212212100018. Its totient is φ = 211212212100016.

The previous prime is 211212212099981. The next prime is 211212212100049. The reversal of 211212212100017 is 710001212212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129972563103601 + 81239648996416 = 11400551^2 + 9013304^2 .

It is a cyclic number.

It is not a de Polignac number, because 211212212100017 - 2³⁰ = 211211138358193 is a prime.

It is a super-3 number, since 3×211212212100017³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 211212212099965 and 211212212100001.

It is not a weakly prime, because it can be changed into another prime (211212212100077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606106050008 + 105606106050009.

It is an arithmetic number, because the mean of its divisors is an integer number (105606106050009).

Almost surely, 2^{211212212100017} is an apocalyptic number.

It is an amenable number.

211212212100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212212100017 is an equidigital number, since it uses as much as digits as its factorization.

211212212100017 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 211212212100017 its reverse (710001212212112), we get a palindrome (921213424312129).

The spelling of 211212212100017 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred twelve million, one hundred thousand, seventeen".