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10010201009 is a prime number
BaseRepresentation
bin10010101001010011…
…11000101110110001
3221211121221220021112
421110221320232301
5131000102413014
64333145203105
7503030206334
oct112451705661
927747856245
1010010201009
1142775521a6
121b34490495
13c36b4c683
146ad65a61b
153d8c2573e
hex254a78bb1

10010201009 has 2 divisors, whose sum is σ = 10010201010. Its totient is φ = 10010201008.

The previous prime is 10010200999. The next prime is 10010201011. The reversal of 10010201009 is 90010201001.

10010201009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7606456225 + 2403744784 = 87215^2 + 49028^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010201009 is a prime.

Together with 10010201011, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010200984 and 10010201002.

It is not a weakly prime, because it can be changed into another prime (10010201099) 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, 5005100504 + 5005100505.

It is an arithmetic number, because the mean of its divisors is an integer number (5005100505).

Almost surely, 210010201009 is an apocalyptic number.

It is an amenable number.

10010201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010201009 is an equidigital number, since it uses as much as digits as its factorization.

10010201009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10010201009 in words is "ten billion, ten million, two hundred one thousand, nine".