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12101175299357 is a prime number
BaseRepresentation
bin1011000000011000011001…
…0000010100110100011101
31120211212020201020211122222
42300012012100110310131
53041231201334034412
641423111515515125
72356165255611524
oct260060620246435
946755221224588
1012101175299357
113946096a85791
121435357158aa5
1369a19c855921
142db9b2b7d4bb
1515eba5417072
hexb0186414d1d

12101175299357 has 2 divisors, whose sum is σ = 12101175299358. Its totient is φ = 12101175299356.

The previous prime is 12101175299341. The next prime is 12101175299359. The reversal of 12101175299357 is 75399257110121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12093778267321 + 7397032036 = 3477611^2 + 86006^2 .

It is a cyclic number.

It is not a de Polignac number, because 12101175299357 - 24 = 12101175299341 is a prime.

It is a super-2 number, since 2×121011752993572 (a number of 27 digits) contains 22 as substring.

Together with 12101175299359, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101175299299 and 12101175299308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101175299359) 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, 6050587649678 + 6050587649679.

It is an arithmetic number, because the mean of its divisors is an integer number (6050587649679).

Almost surely, 212101175299357 is an apocalyptic number.

It is an amenable number.

12101175299357 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101175299357 is an equidigital number, since it uses as much as digits as its factorization.

12101175299357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1190700, while the sum is 53.

The spelling of 12101175299357 in words is "twelve trillion, one hundred one billion, one hundred seventy-five million, two hundred ninety-nine thousand, three hundred fifty-seven".