Search a number
-
+
221022021010201 is a prime number
BaseRepresentation
bin110010010000010010110011…
…000011001100001100011001
31001222120111110122221012202121
4302100102303003030030121
5212432211044334311301
62102024040440501241
764361212502521405
oct6220226303141431
91058514418835677
10221022021010201
1164473a04912164
122095766b77a821
139643396b385a8
143c81746b78105
151a84453a6a3a1
hexc904b30cc319

221022021010201 has 2 divisors, whose sum is σ = 221022021010202. Its totient is φ = 221022021010200.

The previous prime is 221022021010199. The next prime is 221022021010211. The reversal of 221022021010201 is 102010120220122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205806568321600 + 15215452688601 = 14345960^2 + 3900699^2 .

It is a cyclic number.

It is not a de Polignac number, because 221022021010201 - 21 = 221022021010199 is a prime.

Together with 221022021010199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (221022021010211) 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, 110511010505100 + 110511010505101.

It is an arithmetic number, because the mean of its divisors is an integer number (110511010505101).

Almost surely, 2221022021010201 is an apocalyptic number.

It is an amenable number.

221022021010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221022021010201 is an equidigital number, since it uses as much as digits as its factorization.

221022021010201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221022021010201 its reverse (102010120220122), we get a palindrome (323032141230323).

The spelling of 221022021010201 in words is "two hundred twenty-one trillion, twenty-two billion, twenty-one million, ten thousand, two hundred one".