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12211022101 is a prime number
BaseRepresentation
bin10110101111101010…
…10110100100010101
31011112000012012020211
423113311112210111
5200002010201401
65335404325421
7611412655345
oct132765264425
934460165224
1012211022101
1151a6892703
122449543871
1311c7aaa985
1483ba6cd25
154b7055951
hex2d7d56915

12211022101 has 2 divisors, whose sum is σ = 12211022102. Its totient is φ = 12211022100.

The previous prime is 12211022099. The next prime is 12211022113. The reversal of 12211022101 is 10122011221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11912631025 + 298391076 = 109145^2 + 17274^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211022101 - 21 = 12211022099 is a prime.

It is a super-2 number, since 2×122110221012 (a number of 21 digits) contains 22 as substring.

Together with 12211022099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211122101) 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, 6105511050 + 6105511051.

It is an arithmetic number, because the mean of its divisors is an integer number (6105511051).

Almost surely, 212211022101 is an apocalyptic number.

It is an amenable number.

12211022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211022101 is an equidigital number, since it uses as much as digits as its factorization.

12211022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211022101 its reverse (10122011221), we get a palindrome (22333033322).

The spelling of 12211022101 in words is "twelve billion, two hundred eleven million, twenty-two thousand, one hundred one".