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210221122211081 is a prime number
BaseRepresentation
bin101111110011000111101011…
…010100000100110100001001
31000120022221110110022111100022
4233303013223110010310021
5210023230324241223311
62023034130022550225
762164655244524342
oct5763075324046411
91016287413274308
10210221122211081
1160a8a306042363
121b6b2318598375
13903b9c776a807
1439caa8419b0c9
1519485019945db
hexbf31eb504d09

210221122211081 has 2 divisors, whose sum is σ = 210221122211082. Its totient is φ = 210221122211080.

The previous prime is 210221122211053. The next prime is 210221122211117. The reversal of 210221122211081 is 180112221122012.

It is a happy number.

210221122211081 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., 129372539382025 + 80848582829056 = 11374205^2 + 8991584^2 .

It is a cyclic number.

It is not a de Polignac number, because 210221122211081 - 214 = 210221122194697 is a prime.

It is a super-3 number, since 3×2102211222110813 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 210221122211081.

It is not a weakly prime, because it can be changed into another prime (210221122201081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105110561105540 + 105110561105541.

It is an arithmetic number, because the mean of its divisors is an integer number (105110561105541).

Almost surely, 2210221122211081 is an apocalyptic number.

It is an amenable number.

210221122211081 is a deficient number, since it is larger than the sum of its proper divisors (1).

210221122211081 is an equidigital number, since it uses as much as digits as its factorization.

210221122211081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 26.

Adding to 210221122211081 its reverse (180112221122012), we get a palindrome (390333343333093).

The spelling of 210221122211081 in words is "two hundred ten trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, eighty-one".