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211221120221 is a prime number
BaseRepresentation
bin1100010010110111000…
…0101000010011011101
3202012012100210122122122
43010231300220103131
511430040101321341
6241011133352325
721155153620136
oct3045560502335
9665170718578
10211221120221
118163a8a7981
1234b296386a5
1316bc1cb7097
14a31a4b0c8d
15576364094b
hex312dc284dd

211221120221 has 2 divisors, whose sum is σ = 211221120222. Its totient is φ = 211221120220.

The previous prime is 211221120217. The next prime is 211221120223. The reversal of 211221120221 is 122021122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115005765625 + 96215354596 = 339125^2 + 310186^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221120221 - 22 = 211221120217 is a prime.

It is a super-2 number, since 2×2112211202212 (a number of 23 digits) contains 22 as substring.

Together with 211221120223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211221120221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211221120223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610560110 + 105610560111.

It is an arithmetic number, because the mean of its divisors is an integer number (105610560111).

Almost surely, 2211221120221 is an apocalyptic number.

It is an amenable number.

211221120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221120221 is an equidigital number, since it uses as much as digits as its factorization.

211221120221 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 17.

Adding to 211221120221 its reverse (122021122112), we get a palindrome (333242242333).

The spelling of 211221120221 in words is "two hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty-one".