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201000012001 is a prime number
BaseRepresentation
bin1011101100110010001…
…0001100100011100001
3201012211000222120001221
42323030202030203201
511243122000341001
6232201011455041
720343652624615
oct2731442144341
9635730876057
10201000012001
11782752a2aa8
1232b565b7481
1315c53561959
149a2ac33345
1553661591a1
hex2ecc88c8e1

201000012001 has 2 divisors, whose sum is σ = 201000012002. Its totient is φ = 201000012000.

The previous prime is 201000011999. The next prime is 201000012007. The reversal of 201000012001 is 100210000102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117117950625 + 83882061376 = 342225^2 + 289624^2 .

It is a cyclic number.

It is not a de Polignac number, because 201000012001 - 21 = 201000011999 is a prime.

Together with 201000011999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (201000012007) 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, 100500006000 + 100500006001.

It is an arithmetic number, because the mean of its divisors is an integer number (100500006001).

Almost surely, 2201000012001 is an apocalyptic number.

It is an amenable number.

201000012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201000012001 is an equidigital number, since it uses as much as digits as its factorization.

201000012001 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 7.

Adding to 201000012001 its reverse (100210000102), we get a palindrome (301210012103).

The spelling of 201000012001 in words is "two hundred one billion, twelve thousand, one".