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221011222102201 is a prime number
BaseRepresentation
bin110010010000001000101111…
…011000101000000010111001
31001222112110121001212211220001
4302100020233120220002321
5212432021440324232301
62102015053114433001
764360351054361536
oct6220105730500271
91058473531784801
10221011222102201
116446a373142803
1220955557132761
13964236578b2bb
143c81000891d8d
151a8402099dc01
hexc9022f6280b9

221011222102201 has 2 divisors, whose sum is σ = 221011222102202. Its totient is φ = 221011222102200.

The previous prime is 221011222102171. The next prime is 221011222102261. The reversal of 221011222102201 is 102201222110122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188859192186025 + 32152029916176 = 13742605^2 + 5670276^2 .

It is a cyclic number.

It is not a de Polignac number, because 221011222102201 - 217 = 221011221971129 is a prime.

It is not a weakly prime, because it can be changed into another prime (221011222102261) 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, 110505611051100 + 110505611051101.

It is an arithmetic number, because the mean of its divisors is an integer number (110505611051101).

Almost surely, 2221011222102201 is an apocalyptic number.

It is an amenable number.

221011222102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221011222102201 is an equidigital number, since it uses as much as digits as its factorization.

221011222102201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221011222102201 its reverse (102201222110122), we get a palindrome (323212444212323).

The spelling of 221011222102201 in words is "two hundred twenty-one trillion, eleven billion, two hundred twenty-two million, one hundred two thousand, two hundred one".