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12100202322217 is a prime number
BaseRepresentation
bin1011000000010100110001…
…0000101101100100101001
31120211202201220102110221121
42300011030100231210221
53041222203243302332
641422431201335241
72356132202466502
oct260051420554451
946752656373847
1012100202322217
113945737839649
121435125337521
1369a0760ba5c9
142db91d867ba9
1515eb49cc2797
hexb014c42d929

12100202322217 has 2 divisors, whose sum is σ = 12100202322218. Its totient is φ = 12100202322216.

The previous prime is 12100202322199. The next prime is 12100202322319. The reversal of 12100202322217 is 71222320200121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11985866367721 + 114335954496 = 3462061^2 + 338136^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100202322217 - 239 = 11550446508329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12100202322191 and 12100202322200.

It is not a weakly prime, because it can be changed into another prime (12100202322517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050101161108 + 6050101161109.

It is an arithmetic number, because the mean of its divisors is an integer number (6050101161109).

Almost surely, 212100202322217 is an apocalyptic number.

It is an amenable number.

12100202322217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100202322217 is an equidigital number, since it uses as much as digits as its factorization.

12100202322217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 12100202322217 its reverse (71222320200121), we get a palindrome (83322522522338).

The spelling of 12100202322217 in words is "twelve trillion, one hundred billion, two hundred two million, three hundred twenty-two thousand, two hundred seventeen".