Search a number
-
+
10021212112217 is a prime number
BaseRepresentation
bin1001000111010011111011…
…0010011100010101011001
31022111000111111120012110012
42101310332302130111121
52303141420300042332
633151403054131305
72053002656334125
oct221647662342531
938430444505405
1010021212112217
113213a76a91979
12115a2177b0b35
13578cc49a8707
1426905a3b8585
15125a1c2dd3b2
hex91d3ec9c559

10021212112217 has 2 divisors, whose sum is σ = 10021212112218. Its totient is φ = 10021212112216.

The previous prime is 10021212112207. The next prime is 10021212112271. The reversal of 10021212112217 is 71221121212001.

Together with next prime (10021212112271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9186015352336 + 835196759881 = 3030844^2 + 913891^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021212112217 - 224 = 10021195335001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10021212112192 and 10021212112201.

It is not a weakly prime, because it can be changed into another prime (10021212112207) 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, 5010606056108 + 5010606056109.

It is an arithmetic number, because the mean of its divisors is an integer number (5010606056109).

Almost surely, 210021212112217 is an apocalyptic number.

It is an amenable number.

10021212112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021212112217 is an equidigital number, since it uses as much as digits as its factorization.

10021212112217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 10021212112217 its reverse (71221121212001), we get a palindrome (81242333324218).

The spelling of 10021212112217 in words is "ten trillion, twenty-one billion, two hundred twelve million, one hundred twelve thousand, two hundred seventeen".