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201222101020201 is a prime number
BaseRepresentation
bin101101110000001010101011…
…110110100010111000101001
3222101110122102012022022200121
4231300022223312202320221
5202333310330330121301
61551544053531403241
760245550150511012
oct5560125366427051
9871418365268617
10201222101020201
115912a8a51a3a98
121a69a2365b3521
138838216608821
1437992b74a8009
15183e3ae1b03a1
hexb702abda2e29

201222101020201 has 2 divisors, whose sum is σ = 201222101020202. Its totient is φ = 201222101020200.

The previous prime is 201222101020189. The next prime is 201222101020229. The reversal of 201222101020201 is 102020101222102.

It is a happy number.

201222101020201 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., 149654607555600 + 51567493464601 = 12233340^2 + 7181051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201222101020201 is a prime.

It is a super-5 number, since 5×2012221010202015 (a number of 73 digits) contains 55555 as substring. Note that it is a super-d number also for d = 4.

It is not a weakly prime, because it can be changed into another prime (201222101020231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100611050510100 + 100611050510101.

It is an arithmetic number, because the mean of its divisors is an integer number (100611050510101).

Almost surely, 2201222101020201 is an apocalyptic number.

It is an amenable number.

201222101020201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201222101020201 is an equidigital number, since it uses as much as digits as its factorization.

201222101020201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201222101020201 its reverse (102020101222102), we get a palindrome (303242202242303).

The spelling of 201222101020201 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred one million, twenty thousand, two hundred one".