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201022000001 is a prime number
BaseRepresentation
bin1011101100110111011…
…0000100101110000001
3201012212120100122221022
42323031312010232001
511243143113000001
6232203115035225
720344340543564
oct2731566045601
9635776318838
10201022000001
11782867509a9
1232b61a3bb15
1315c57c8cbc4
149a2db184db
15536804e11b
hex2ecdd84b81

201022000001 has 2 divisors, whose sum is σ = 201022000002. Its totient is φ = 201022000000.

The previous prime is 201021999979. The next prime is 201022000033. The reversal of 201022000001 is 100000220102.

201022000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124736112400 + 76285887601 = 353180^2 + 276199^2 .

It is a cyclic number.

It is not a de Polignac number, because 201022000001 - 210 = 201021998977 is a prime.

It is not a weakly prime, because it can be changed into another prime (201022005001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100511000000 + 100511000001.

It is an arithmetic number, because the mean of its divisors is an integer number (100511000001).

Almost surely, 2201022000001 is an apocalyptic number.

It is an amenable number.

201022000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

201022000001 is an equidigital number, since it uses as much as digits as its factorization.

201022000001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 201022000001 its reverse (100000220102), we get a palindrome (301022220103).

The spelling of 201022000001 in words is "two hundred one billion, twenty-two million, one", and thus it is an aban number.