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212100212221 is a prime number
BaseRepresentation
bin1100010110001000101…
…0000110010111111101
3202021110121222011011121
43011202022012113331
511433340123242341
6241234255350541
721216020025442
oct3054212062775
9667417864147
10212100212221
1181a51049797
1235133b22451
131700216cc71
14a3a11479c9
1557b58dc4d1
hex31622865fd

212100212221 has 2 divisors, whose sum is σ = 212100212222. Its totient is φ = 212100212220.

The previous prime is 212100212213. The next prime is 212100212239. The reversal of 212100212221 is 122212001212.

It is a happy number.

212100212221 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., 206353056121 + 5747156100 = 454261^2 + 75810^2 .

It is a cyclic number.

It is not a de Polignac number, because 212100212221 - 23 = 212100212213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212100212195 and 212100212204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212100212281) 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, 106050106110 + 106050106111.

It is an arithmetic number, because the mean of its divisors is an integer number (106050106111).

Almost surely, 2212100212221 is an apocalyptic number.

It is an amenable number.

212100212221 is a deficient number, since it is larger than the sum of its proper divisors (1).

212100212221 is an equidigital number, since it uses as much as digits as its factorization.

212100212221 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 212100212221 its reverse (122212001212), we get a palindrome (334312213433).

The spelling of 212100212221 in words is "two hundred twelve billion, one hundred million, two hundred twelve thousand, two hundred twenty-one".