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12102010121017 is a prime number
BaseRepresentation
bin1011000000011011100000…
…0000111010101100111001
31120211221101220010011200201
42300012320000322230321
53041234404042333032
641423330421002201
72356225043515105
oct260067000725471
946757356104621
1012102010121017
11394648523a643
12143554a853361
1369a2a37ab33b
142dba519b0905
1515ec0386b8e7
hexb01b803ab39

12102010121017 has 2 divisors, whose sum is σ = 12102010121018. Its totient is φ = 12102010121016.

The previous prime is 12102010121011. The next prime is 12102010121129. The reversal of 12102010121017 is 71012101020121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8789540960656 + 3312469160361 = 2964716^2 + 1820019^2 .

It is a cyclic number.

It is not a de Polignac number, because 12102010121017 - 223 = 12102001732409 is a prime.

It is a super-2 number, since 2×121020101210172 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102010120985 and 12102010121003.

It is not a weakly prime, because it can be changed into another prime (12102010121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051005060508 + 6051005060509.

It is an arithmetic number, because the mean of its divisors is an integer number (6051005060509).

Almost surely, 212102010121017 is an apocalyptic number.

It is an amenable number.

12102010121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102010121017 is an equidigital number, since it uses as much as digits as its factorization.

12102010121017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 12102010121017 its reverse (71012101020121), we get a palindrome (83114111141138).

The spelling of 12102010121017 in words is "twelve trillion, one hundred two billion, ten million, one hundred twenty-one thousand, seventeen".