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211220022121 is a prime number
BaseRepresentation
bin1100010010110110110…
…0011100001101101001
3202012012021201212100021
43010231230130031221
511430034311201441
6241011054040441
721155141364523
oct3045554341551
9665167655307
10211220022121
118163a217959
1234b291a9121
1316bc19c1314
14a31a2a6a13
1557634c53d1
hex312db1c369

211220022121 has 2 divisors, whose sum is σ = 211220022122. Its totient is φ = 211220022120.

The previous prime is 211220022049. The next prime is 211220022127. The reversal of 211220022121 is 121220022112.

It is a happy number.

211220022121 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., 119846823721 + 91373198400 = 346189^2 + 302280^2 .

It is a cyclic number.

It is not a de Polignac number, because 211220022121 - 211 = 211220020073 is a prime.

It is a super-2 number, since 2×2112200221212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220022095 and 211220022104.

It is not a weakly prime, because it can be changed into another prime (211220022127) 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, 105610011060 + 105610011061.

It is an arithmetic number, because the mean of its divisors is an integer number (105610011061).

Almost surely, 2211220022121 is an apocalyptic number.

It is an amenable number.

211220022121 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220022121 is an equidigital number, since it uses as much as digits as its factorization.

211220022121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 211220022121 its reverse (121220022112), we get a palindrome (332440044233).

Subtracting from 211220022121 its reverse (121220022112), we obtain a palindrome (90000000009).

The spelling of 211220022121 in words is "two hundred eleven billion, two hundred twenty million, twenty-two thousand, one hundred twenty-one".