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10101200201 is a prime number
BaseRepresentation
bin10010110100001010…
…00001010101001001
3222001222012010200222
421122011001111021
5131141401401301
64350155435425
7505213533161
oct113205012511
928058163628
1010101200201
114313956244
121b5aa55b75
13c4c961351
146bb7875a1
153e1bed31b
hex25a141549

10101200201 has 2 divisors, whose sum is σ = 10101200202. Its totient is φ = 10101200200.

The previous prime is 10101200111. The next prime is 10101200203. The reversal of 10101200201 is 10200210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9604980025 + 496220176 = 98005^2 + 22276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10101200201 is a prime.

Together with 10101200203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10101200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050600100 + 5050600101.

It is an arithmetic number, because the mean of its divisors is an integer number (5050600101).

Almost surely, 210101200201 is an apocalyptic number.

It is an amenable number.

10101200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101200201 is an equidigital number, since it uses as much as digits as its factorization.

10101200201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101200201 its reverse (10200210101), we get a palindrome (20301410302).

The spelling of 10101200201 in words is "ten billion, one hundred one million, two hundred thousand, two hundred one".