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221102102005201 is a prime number
BaseRepresentation
bin110010010001011101011000…
…001111111100010111010001
31001222212011011122110021000101
4302101131120033330113101
5212440014101103131301
62102124523050252401
764400046126662134
oct6221353017742721
91058764148407011
10221102102005201
11644a4969509a5a
122096b09a727101
13964aab998b631
143c8558259821b
151a8658e1d7701
hexc917583fc5d1

221102102005201 has 2 divisors, whose sum is σ = 221102102005202. Its totient is φ = 221102102005200.

The previous prime is 221102102005189. The next prime is 221102102005207. The reversal of 221102102005201 is 102500201201122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120608694875601 + 100493407129600 = 10982199^2 + 10024640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221102102005201 is a prime.

It is a super-2 number, since 2×2211021020052012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221102102005207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110551051002600 + 110551051002601.

It is an arithmetic number, because the mean of its divisors is an integer number (110551051002601).

Almost surely, 2221102102005201 is an apocalyptic number.

It is an amenable number.

221102102005201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221102102005201 is an equidigital number, since it uses as much as digits as its factorization.

221102102005201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 221102102005201 its reverse (102500201201122), we get a palindrome (323602303206323).

The spelling of 221102102005201 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred two million, five thousand, two hundred one".