Search a number
-
+
221010000121 is a prime number
BaseRepresentation
bin1100110111010100111…
…0001111100011111001
3210010110120022021110001
43031311032033203321
512110112030000441
6245310335153001
721652556001451
oct3156516174371
9703416267401
10221010000121
1185803424269
12369bb975761
1317ac2025901
14a9a8598d61
155b37be9731
hex337538f8f9

221010000121 has 2 divisors, whose sum is σ = 221010000122. Its totient is φ = 221010000120.

The previous prime is 221010000091. The next prime is 221010000209. The reversal of 221010000121 is 121000010122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160168844521 + 60841155600 = 400211^2 + 246660^2 .

It is a cyclic number.

It is not a de Polignac number, because 221010000121 - 25 = 221010000089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221010000098 and 221010000107.

It is not a weakly prime, because it can be changed into another prime (221010000521) 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, 110505000060 + 110505000061.

It is an arithmetic number, because the mean of its divisors is an integer number (110505000061).

Almost surely, 2221010000121 is an apocalyptic number.

It is an amenable number.

221010000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221010000121 is an equidigital number, since it uses as much as digits as its factorization.

221010000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221010000121 its reverse (121000010122), we get a palindrome (342010010243).

The spelling of 221010000121 in words is "two hundred twenty-one billion, ten million, one hundred twenty-one", and thus it is an aban number.