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12211122101 is a prime number
BaseRepresentation
bin10110101111101011…
…01110111110110101
31011112000101021102112
423113311232332311
5200002021401401
65335410420405
7611413553033
oct132765567665
934460337375
1012211122101
1151a6950852
122449591705
1311c7b14349
1483ba97553
154b70753bb
hex2d7d6efb5

12211122101 has 2 divisors, whose sum is σ = 12211122102. Its totient is φ = 12211122100.

The previous prime is 12211122097. The next prime is 12211122109. The reversal of 12211122101 is 10122111221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11770080100 + 441042001 = 108490^2 + 21001^2 .

It is an emirp because it is prime and its reverse (10122111221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12211122101 - 22 = 12211122097 is a prime.

It is a super-2 number, since 2×122111221012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211122109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105561050 + 6105561051.

It is an arithmetic number, because the mean of its divisors is an integer number (6105561051).

Almost surely, 212211122101 is an apocalyptic number.

It is an amenable number.

12211122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211122101 is an equidigital number, since it uses as much as digits as its factorization.

12211122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211122101 its reverse (10122111221), we get a palindrome (22333233322).

The spelling of 12211122101 in words is "twelve billion, two hundred eleven million, one hundred twenty-two thousand, one hundred one".