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201021310081 is a prime number
BaseRepresentation
bin1011101100110111001…
…1011100010010000001
3201012212112001121112201
42323031303130102001
511243142423410311
6232203052153201
720344331641264
oct2731563342201
9635775047481
10201021310081
117828631a619
1232b61768801
1315c57aaab77
149a2d9b8cdb
155367e649c1
hex2ecdcdc481

201021310081 has 2 divisors, whose sum is σ = 201021310082. Its totient is φ = 201021310080.

The previous prime is 201021310051. The next prime is 201021310109. The reversal of 201021310081 is 180013120102.

201021310081 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., 172769079025 + 28252231056 = 415655^2 + 168084^2 .

It is a cyclic number.

It is not a de Polignac number, because 201021310081 - 29 = 201021309569 is a prime.

It is a super-2 number, since 2×2010213100812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201021310051) 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, 100510655040 + 100510655041.

It is an arithmetic number, because the mean of its divisors is an integer number (100510655041).

Almost surely, 2201021310081 is an apocalyptic number.

It is an amenable number.

201021310081 is a deficient number, since it is larger than the sum of its proper divisors (1).

201021310081 is an equidigital number, since it uses as much as digits as its factorization.

201021310081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 201021310081 its reverse (180013120102), we get a palindrome (381034430183).

The spelling of 201021310081 in words is "two hundred one billion, twenty-one million, three hundred ten thousand, eighty-one".