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221020112220221 is a prime number
BaseRepresentation
bin110010010000010001000001…
…010001101111000000111101
31001222120022112122012122011102
4302100101001101233000331
5212432143142212021341
62102023123212502445
764361114264212136
oct6220210121570075
91058508478178142
10221020112220221
1164473115402a86
122095721847aa25
139643151547b72
143c81605462c8d
151a843911c2c9b
hexc9044146f03d

221020112220221 has 2 divisors, whose sum is σ = 221020112220222. Its totient is φ = 221020112220220.

The previous prime is 221020112220181. The next prime is 221020112220287. The reversal of 221020112220221 is 122022211020122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201721970728996 + 19298141491225 = 14202886^2 + 4392965^2 .

It is a cyclic number.

It is not a de Polignac number, because 221020112220221 - 210 = 221020112219197 is a prime.

It is a super-4 number, since 4×2210201122202214 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221020112220193 and 221020112220202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221020112228221) 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, 110510056110110 + 110510056110111.

It is an arithmetic number, because the mean of its divisors is an integer number (110510056110111).

Almost surely, 2221020112220221 is an apocalyptic number.

It is an amenable number.

221020112220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020112220221 is an equidigital number, since it uses as much as digits as its factorization.

221020112220221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221020112220221 its reverse (122022211020122), we get a palindrome (343042323240343).

The spelling of 221020112220221 in words is "two hundred twenty-one trillion, twenty billion, one hundred twelve million, two hundred twenty thousand, two hundred twenty-one".