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12102109993 is a prime number
BaseRepresentation
bin10110100010101011…
…11000101100101001
31011020102020212221001
423101111320230221
5144241120004433
65320514115001
7605621144341
oct132125705451
934212225831
1012102109993
1151503643a6
122418b7ba61
1311ab36683c
1482b3dbd21
154ac6e057d
hex2d1578b29

12102109993 has 2 divisors, whose sum is σ = 12102109994. Its totient is φ = 12102109992.

The previous prime is 12102109919. The next prime is 12102110051. The reversal of 12102109993 is 39990120121.

It is a happy number.

12102109993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10718046784 + 1384063209 = 103528^2 + 37203^2 .

It is a cyclic number.

It is not a de Polignac number, because 12102109993 - 213 = 12102101801 is a prime.

It is a super-2 number, since 2×121021099932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12102109193) 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, 6051054996 + 6051054997.

It is an arithmetic number, because the mean of its divisors is an integer number (6051054997).

Almost surely, 212102109993 is an apocalyptic number.

It is an amenable number.

12102109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102109993 is an equidigital number, since it uses as much as digits as its factorization.

12102109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 12102109993 in words is "twelve billion, one hundred two million, one hundred nine thousand, nine hundred ninety-three".