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12221110100117 is a prime number
BaseRepresentation
bin1011000111010111001011…
…1011010010000010010101
31121021022211011201222121202
42301311302323102002111
53100212313141200432
641554144522522245
72400642333603632
oct261656273220225
947238734658552
1012221110100117
113991a42058736
121454649066385
136a85a4392659
1430370d593189
15162d747de462
hexb1d72ed2095

12221110100117 has 2 divisors, whose sum is σ = 12221110100118. Its totient is φ = 12221110100116.

The previous prime is 12221110100071. The next prime is 12221110100233. The reversal of 12221110100117 is 71100101112221.

It is a happy number.

12221110100117 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., 7751496790801 + 4469613309316 = 2784151^2 + 2114146^2 .

It is an emirp because it is prime and its reverse (71100101112221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12221110100117 - 226 = 12221042991253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221110160117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110555050058 + 6110555050059.

It is an arithmetic number, because the mean of its divisors is an integer number (6110555050059).

Almost surely, 212221110100117 is an apocalyptic number.

It is an amenable number.

12221110100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221110100117 is an equidigital number, since it uses as much as digits as its factorization.

12221110100117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 12221110100117 its reverse (71100101112221), we get a palindrome (83321211212338).

The spelling of 12221110100117 in words is "twelve trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand, one hundred seventeen".