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212101110217 is a prime number
BaseRepresentation
bin1100010110001000110…
…1100001100111001001
3202021110200122202222201
43011202031201213021
511433340341011332
6241234330520201
721216030455503
oct3054215414711
9667420582881
10212101110217
1181a51602437
1235134296061
13170023c5919
14a3a12dcd73
1557b5a185e7
hex31623619c9

212101110217 has 2 divisors, whose sum is σ = 212101110218. Its totient is φ = 212101110216.

The previous prime is 212101110209. The next prime is 212101110233. The reversal of 212101110217 is 712011101212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194702445001 + 17398665216 = 441251^2 + 131904^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101110217 - 23 = 212101110209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212101110194 and 212101110203.

It is not a weakly prime, because it can be changed into another prime (212101110917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106050555108 + 106050555109.

It is an arithmetic number, because the mean of its divisors is an integer number (106050555109).

Almost surely, 2212101110217 is an apocalyptic number.

It is an amenable number.

212101110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101110217 is an equidigital number, since it uses as much as digits as its factorization.

212101110217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 212101110217 its reverse (712011101212), we get a palindrome (924112211429).

The spelling of 212101110217 in words is "two hundred twelve billion, one hundred one million, one hundred ten thousand, two hundred seventeen".