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212000210112221 is a prime number
BaseRepresentation
bin110000001101000000100101…
…001101110100111011011101
31000210122000121011001222010222
4300031000211031310323131
5210241402412242042341
62030515315123011125
762440336560262226
oct6015004515647335
91023560534058128
10212000210112221
1161605869857613
121b93b089509aa5
13913a6c336670b
143a4cc1749824d
15197992a66544b
hexc0d025374edd

212000210112221 has 2 divisors, whose sum is σ = 212000210112222. Its totient is φ = 212000210112220.

The previous prime is 212000210112199. The next prime is 212000210112289. The reversal of 212000210112221 is 122211012000212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155870355888025 + 56129854224196 = 12484805^2 + 7491986^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212000210112221 is a prime.

It is a super-2 number, since 2×2120002101122212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212000210112221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212000210112421) 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, 106000105056110 + 106000105056111.

It is an arithmetic number, because the mean of its divisors is an integer number (106000105056111).

Almost surely, 2212000210112221 is an apocalyptic number.

It is an amenable number.

212000210112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000210112221 is an equidigital number, since it uses as much as digits as its factorization.

212000210112221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212000210112221 its reverse (122211012000212), we get a palindrome (334211222112433).

The spelling of 212000210112221 in words is "two hundred twelve trillion, two hundred ten million, one hundred twelve thousand, two hundred twenty-one".