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200210222102201 is a prime number
BaseRepresentation
bin101101100001011100010011…
…001010110011011010111001
3222020212220120121121100010122
4231201130103022303122321
5202220221013324232301
61545451150054423025
760112465641563663
oct5541342312633271
9866786517540118
10200210222102201
115887a7509a81a3
121a5560ba361a75
1387939872c0a2c
143762325561533
151822dd9b4481b
hexb617132b36b9

200210222102201 has 2 divisors, whose sum is σ = 200210222102202. Its totient is φ = 200210222102200.

The previous prime is 200210222102161. The next prime is 200210222102203. The reversal of 200210222102201 is 102201222012002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198660568090000 + 1549654012201 = 14094700^2 + 1244851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200210222102201 is a prime.

Together with 200210222102203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200210222102201.

It is not a weakly prime, because it can be changed into another prime (200210222102203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100105111051100 + 100105111051101.

It is an arithmetic number, because the mean of its divisors is an integer number (100105111051101).

Almost surely, 2200210222102201 is an apocalyptic number.

It is an amenable number.

200210222102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

200210222102201 is an equidigital number, since it uses as much as digits as its factorization.

200210222102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 200210222102201 its reverse (102201222012002), we get a palindrome (302411444114203).

The spelling of 200210222102201 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, one hundred two thousand, two hundred one".