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12100127127817 is a prime number
BaseRepresentation
bin1011000000010100011111…
…0001110111100100001001
31120211202112122221012121211
42300011013301313210021
53041222030021042232
641422415513533121
72356130300400031
oct260050761674411
946752478835554
1012100127127817
1139456a934aa13
1214351041141a1
1369a063650691
142db9138928c1
1515eb433bca47
hexb0147c77909

12100127127817 has 2 divisors, whose sum is σ = 12100127127818. Its totient is φ = 12100127127816.

The previous prime is 12100127127769. The next prime is 12100127127889. The reversal of 12100127127817 is 71872172100121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7693805560441 + 4406321567376 = 2773771^2 + 2099124^2 .

It is an emirp because it is prime and its reverse (71872172100121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12100127127817 - 231 = 12097979644169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12100127127817.

It is not a weakly prime, because it can be changed into another prime (12100127125817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050063563908 + 6050063563909.

It is an arithmetic number, because the mean of its divisors is an integer number (6050063563909).

Almost surely, 212100127127817 is an apocalyptic number.

It is an amenable number.

12100127127817 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100127127817 is an equidigital number, since it uses as much as digits as its factorization.

12100127127817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21952, while the sum is 40.

Adding to 12100127127817 its reverse (71872172100121), we get a palindrome (83972299227938).

The spelling of 12100127127817 in words is "twelve trillion, one hundred billion, one hundred twenty-seven million, one hundred twenty-seven thousand, eight hundred seventeen".