100211220210217 has 2 divisors, whose sum is σ = 100211220210218. Its totient is φ = 100211220210216.

The previous prime is 100211220210047. The next prime is 100211220210247. The reversal of 100211220210217 is 712012022112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89360645861776 + 10850574348441 = 9453076^2 + 3294021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100211220210217 is a prime.

It is a super-3 number, since 3×100211220210217³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100211220210247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105610105108 + 50105610105109.

It is an arithmetic number, because the mean of its divisors is an integer number (50105610105109).

Almost surely, 2^{100211220210217} is an apocalyptic number.

It is an amenable number.

100211220210217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211220210217 is an equidigital number, since it uses as much as digits as its factorization.

100211220210217 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 22.

Adding to 100211220210217 its reverse (712012022112001), we get a palindrome (812223242322218).

The spelling of 100211220210217 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty million, two hundred ten thousand, two hundred seventeen".