Search a number
-
+
221102120110121 is a prime number
BaseRepresentation
bin110010010001011101011001…
…010101000000100000101001
31001222212011012220112002021222
4302101131121111000200221
5212440014120222010441
62102124524534311425
764400046436606145
oct6221353125004051
91058764186462258
10221102120110121
11644a49787554a8
122096b0a47b8575
13964aac065a2c3
143c85584b4c225
151a86590ab1d4b
hexc91759540829

221102120110121 has 2 divisors, whose sum is σ = 221102120110122. Its totient is φ = 221102120110120.

The previous prime is 221102120110097. The next prime is 221102120110139. The reversal of 221102120110121 is 121011021201122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133270285275625 + 87831834834496 = 11544275^2 + 9371864^2 .

It is a cyclic number.

It is not a de Polignac number, because 221102120110121 - 214 = 221102120093737 is a prime.

It is a super-2 number, since 2×2211021201101212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221102120110121.

It is not a weakly prime, because it can be changed into another prime (221102120116121) 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, 110551060055060 + 110551060055061.

It is an arithmetic number, because the mean of its divisors is an integer number (110551060055061).

Almost surely, 2221102120110121 is an apocalyptic number.

It is an amenable number.

221102120110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221102120110121 is an equidigital number, since it uses as much as digits as its factorization.

221102120110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221102120110121 its reverse (121011021201122), we get a palindrome (342113141311243).

It can be divided in two parts, 2211021201101 and 21, that added together give a palindrome (2211021201122).

The spelling of 221102120110121 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty million, one hundred ten thousand, one hundred twenty-one".