Search a number
-
+
21003321010201 is a prime number
BaseRepresentation
bin1001100011010001101110…
…11111001110100000011001
32202100220020112221201200121
410301220313133032200121
510223104300134311301
6112400443101233241
74265303605630255
oct461506737164031
982326215851617
1021003321010201
116768505178062
122432701862821
13b947b2609a6a
145287cd78d265
15266527e503a1
hex131a377ce819

21003321010201 has 2 divisors, whose sum is σ = 21003321010202. Its totient is φ = 21003321010200.

The previous prime is 21003321010153. The next prime is 21003321010211. The reversal of 21003321010201 is 10201012330012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12638060550025 + 8365260460176 = 3555005^2 + 2892276^2 .

It is a cyclic number.

It is not a de Polignac number, because 21003321010201 - 29 = 21003321009689 is a prime.

It is a super-2 number, since 2×210033210102012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21003321010211) 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, 10501660505100 + 10501660505101.

It is an arithmetic number, because the mean of its divisors is an integer number (10501660505101).

Almost surely, 221003321010201 is an apocalyptic number.

It is an amenable number.

21003321010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21003321010201 is an equidigital number, since it uses as much as digits as its factorization.

21003321010201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21003321010201 its reverse (10201012330012), we get a palindrome (31204333340213).

The spelling of 21003321010201 in words is "twenty-one trillion, three billion, three hundred twenty-one million, ten thousand, two hundred one".