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12011221566101 is a prime number
BaseRepresentation
bin1010111011001001010010…
…0110000100001010010101
31120112021001200102201120202
42232302110212010022111
53033242440210103401
641313513511110245
72346532160523452
oct256622446041225
946467050381522
1012011221566101
113910a2649557a
12141ba31972385
136918654b2724
142d74bc086829
1515c68d17906b
hexaec94984295

12011221566101 has 2 divisors, whose sum is σ = 12011221566102. Its totient is φ = 12011221566100.

The previous prime is 12011221566073. The next prime is 12011221566131. The reversal of 12011221566101 is 10166512211021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11957037831025 + 54183735076 = 3457895^2 + 232774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011221566101 is a prime.

It is a super-2 number, since 2×120112215661012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12011221566131) 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, 6005610783050 + 6005610783051.

It is an arithmetic number, because the mean of its divisors is an integer number (6005610783051).

Almost surely, 212011221566101 is an apocalyptic number.

It is an amenable number.

12011221566101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011221566101 is an equidigital number, since it uses as much as digits as its factorization.

12011221566101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 29.

Adding to 12011221566101 its reverse (10166512211021), we get a palindrome (22177733777122).

The spelling of 12011221566101 in words is "twelve trillion, eleven billion, two hundred twenty-one million, five hundred sixty-six thousand, one hundred one".