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221102033211121 is a prime number
BaseRepresentation
bin110010010001011101010100…
…001001100000111011110001
31001222212010222212000011021111
4302101131110021200323301
5212440013431000223441
62102124512151553321
764400044333150246
oct6221352411407361
91058763885004244
10221102033211121
11644a49336a1a47
122096b07b68b841
13964aaa865298a
143c855773ab5cd
151a86588149081
hexc91754260ef1

221102033211121 has 2 divisors, whose sum is σ = 221102033211122. Its totient is φ = 221102033211120.

The previous prime is 221102033211119. The next prime is 221102033211161. The reversal of 221102033211121 is 121112330201122.

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., 197899170416896 + 23202862794225 = 14067664^2 + 4816935^2 .

It is a cyclic number.

It is not a de Polignac number, because 221102033211121 - 21 = 221102033211119 is a prime.

It is a super-2 number, since 2×2211020332111212 (a number of 29 digits) contains 22 as substring.

Together with 221102033211119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 221102033211092 and 221102033211101.

It is not a weakly prime, because it can be changed into another prime (221102033211161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110551016605560 + 110551016605561.

It is an arithmetic number, because the mean of its divisors is an integer number (110551016605561).

Almost surely, 2221102033211121 is an apocalyptic number.

It is an amenable number.

221102033211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221102033211121 is an equidigital number, since it uses as much as digits as its factorization.

221102033211121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 221102033211121 its reverse (121112330201122), we get a palindrome (342214363412243).

The spelling of 221102033211121 in words is "two hundred twenty-one trillion, one hundred two billion, thirty-three million, two hundred eleven thousand, one hundred twenty-one".