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12212112102221 is a prime number
BaseRepresentation
bin1011000110110101101010…
…0110101001001101001101
31121020110121002102022222102
42301231122212221031031
53100040401144232341
641550100012324445
72400203344101623
oct261553246511515
947213532368872
1012212112102221
113989144a04739
121452957773725
136a779c163745
143030d853d513
151629e98aac9b
hexb1b5a9a934d

12212112102221 has 2 divisors, whose sum is σ = 12212112102222. Its totient is φ = 12212112102220.

The previous prime is 12212112102163. The next prime is 12212112102271. The reversal of 12212112102221 is 12220121121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10453873230025 + 1758238872196 = 3233245^2 + 1325986^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212112102221 is a prime.

It is a super-2 number, since 2×122121121022212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12212112102193 and 12212112102202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12212112102271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106056051110 + 6106056051111.

It is an arithmetic number, because the mean of its divisors is an integer number (6106056051111).

Almost surely, 212212112102221 is an apocalyptic number.

It is an amenable number.

12212112102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212112102221 is an equidigital number, since it uses as much as digits as its factorization.

12212112102221 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 20.

Adding to 12212112102221 its reverse (12220121121221), we get a palindrome (24432233223442).

The spelling of 12212112102221 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred two thousand, two hundred twenty-one".