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221102100221 is a prime number
BaseRepresentation
bin1100110111101010110…
…1100100111011111101
3210010200222121110000212
43031322231210323331
512110304114201341
6245323425202205
721655054562042
oct3157255447375
9703628543025
10221102100221
118585040a452
1236a26790365
1317b08131702
14a9b68d11c9
155b40d3d5eb
hex337ab64efd

221102100221 has 2 divisors, whose sum is σ = 221102100222. Its totient is φ = 221102100220.

The previous prime is 221102100211. The next prime is 221102100223. The reversal of 221102100221 is 122001201122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118452988900 + 102649111321 = 344170^2 + 320389^2 .

It is a cyclic number.

It is not a de Polignac number, because 221102100221 - 230 = 220028358397 is a prime.

It is a super-2 number, since 2×2211021002212 (a number of 23 digits) contains 22 as substring.

Together with 221102100223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 221102100196 and 221102100205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221102100223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110551050110 + 110551050111.

It is an arithmetic number, because the mean of its divisors is an integer number (110551050111).

Almost surely, 2221102100221 is an apocalyptic number.

It is an amenable number.

221102100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

221102100221 is an equidigital number, since it uses as much as digits as its factorization.

221102100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221102100221 its reverse (122001201122), we get a palindrome (343103301343).

The spelling of 221102100221 in words is "two hundred twenty-one billion, one hundred two million, one hundred thousand, two hundred twenty-one".