Search a number
-
+
201000020122001 is a prime number
BaseRepresentation
bin101101101100111011110110…
…110011001001100110010001
3222100200102011222220210020202
4231230323312303021212101
5202321141020122401001
61551254045015144545
760223525606151342
oct5554736663114621
9870612158823222
10201000020122001
11590546a23321a1
121a663198075155
1388202b3781519
14378c64a9c80c9
15183871247c96b
hexb6cef6cc9991

201000020122001 has 2 divisors, whose sum is σ = 201000020122002. Its totient is φ = 201000020122000.

The previous prime is 201000020121959. The next prime is 201000020122003. The reversal of 201000020122001 is 100221020000102.

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., 113652677961601 + 87347342160400 = 10660801^2 + 9345980^2 .

It is a cyclic number.

It is not a de Polignac number, because 201000020122001 - 214 = 201000020105617 is a prime.

Together with 201000020122003, 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 (201000020122003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500010061000 + 100500010061001.

It is an arithmetic number, because the mean of its divisors is an integer number (100500010061001).

Almost surely, 2201000020122001 is an apocalyptic number.

It is an amenable number.

201000020122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201000020122001 is an equidigital number, since it uses as much as digits as its factorization.

201000020122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201000020122001 its reverse (100221020000102), we get a palindrome (301221040122103).

The spelling of 201000020122001 in words is "two hundred one trillion, twenty million, one hundred twenty-two thousand, one".