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212121200200121 is a prime number
BaseRepresentation
bin110000001110110001010000…
…110010011000100110111001
31000211001120220011021020220122
4300032301100302120212321
5210300343204222400441
62031051044544303025
762452152041123252
oct6016612062304671
91024046804236818
10212121200200121
11616521065853a3
121b95a614911a75
139148c356ca3c4
143a54a140cbb29
15197cb5c4e034b
hexc0ec50c989b9

212121200200121 has 2 divisors, whose sum is σ = 212121200200122. Its totient is φ = 212121200200120.

The previous prime is 212121200200103. The next prime is 212121200200181. The reversal of 212121200200121 is 121002002121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147029302318096 + 65091897882025 = 12125564^2 + 8067955^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121200200121 - 242 = 207723153689017 is a prime.

It is a super-3 number, since 3×2121212002001213 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212121200200121.

It is not a weakly prime, because it can be changed into another prime (212121200200181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060600100060 + 106060600100061.

It is an arithmetic number, because the mean of its divisors is an integer number (106060600100061).

Almost surely, 2212121200200121 is an apocalyptic number.

It is an amenable number.

212121200200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121200200121 is an equidigital number, since it uses as much as digits as its factorization.

212121200200121 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 212121200200121 its reverse (121002002121212), we get a palindrome (333123202321333).

The spelling of 212121200200121 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred million, two hundred thousand, one hundred twenty-one".