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12111002100017 is a prime number
BaseRepresentation
bin1011000000111100111111…
…1110100110000100110001
31120212210121120010000221222
42300033033332212010301
53041411313014200032
641431414554154425
72356663631211242
oct260171776460461
946783546100858
1012111002100017
11394a279a52547
12143723a122a15
1369b0a76b0782
142dc265cd8cc9
1516007ceb1a12
hexb03cffa6131

12111002100017 has 2 divisors, whose sum is σ = 12111002100018. Its totient is φ = 12111002100016.

The previous prime is 12111002099971. The next prime is 12111002100023. The reversal of 12111002100017 is 71000120011121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7281340972816 + 4829661127201 = 2698396^2 + 2197649^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111002100017 - 218 = 12111001837873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12111002099968 and 12111002100004.

It is not a weakly prime, because it can be changed into another prime (12111002100517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055501050008 + 6055501050009.

It is an arithmetic number, because the mean of its divisors is an integer number (6055501050009).

Almost surely, 212111002100017 is an apocalyptic number.

It is an amenable number.

12111002100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111002100017 is an equidigital number, since it uses as much as digits as its factorization.

12111002100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 12111002100017 its reverse (71000120011121), we get a palindrome (83111122111138).

The spelling of 12111002100017 in words is "twelve trillion, one hundred eleven billion, two million, one hundred thousand, seventeen".