Search a number
-
+
10101212210213 is a prime number
BaseRepresentation
bin1001001011111101111100…
…1010100110010000100101
31022202122222211212020212122
42102333133022212100211
52310444240311211323
633252233253555325
72061534312054335
oct222773712462045
938678884766778
1010101212210213
113244999a55643
121171823645b45
13583703b45cc7
1426cc8917b0c5
15127b507caec8
hex92fdf2a6425

10101212210213 has 2 divisors, whose sum is σ = 10101212210214. Its totient is φ = 10101212210212.

The previous prime is 10101212210191. The next prime is 10101212210227. The reversal of 10101212210213 is 31201221210101.

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., 9886006216804 + 215205993409 = 3144202^2 + 463903^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101212210213 - 210 = 10101212209189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101212210191 and 10101212210200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101212216213) 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, 5050606105106 + 5050606105107.

It is an arithmetic number, because the mean of its divisors is an integer number (5050606105107).

Almost surely, 210101212210213 is an apocalyptic number.

It is an amenable number.

10101212210213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101212210213 is an equidigital number, since it uses as much as digits as its factorization.

10101212210213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 10101212210213 its reverse (31201221210101), we get a palindrome (41302433420314).

The spelling of 10101212210213 in words is "ten trillion, one hundred one billion, two hundred twelve million, two hundred ten thousand, two hundred thirteen".