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2222122121 is a prime number
BaseRepresentation
bin1000010001110010…
…1110010010001001
312201212022111111022
42010130232102021
514022330401441
61004255442225
7106031504102
oct20434562211
95655274438
102222122121
11a4036a26a
12520226375
132954a897b
141711993a9
15d013b84b
hex8472e489

2222122121 has 2 divisors, whose sum is σ = 2222122122. Its totient is φ = 2222122120.

The previous prime is 2222122099. The next prime is 2222122127. The reversal of 2222122121 is 1212212222.

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., 1854249721 + 367872400 = 43061^2 + 19180^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222122121 - 214 = 2222105737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2222122121.

It is not a weakly prime, because it can be changed into another prime (2222122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111061060 + 1111061061.

It is an arithmetic number, because the mean of its divisors is an integer number (1111061061).

Almost surely, 22222122121 is an apocalyptic number.

It is an amenable number.

2222122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222122121 is an equidigital number, since it uses as much as digits as its factorization.

2222122121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 128, while the sum is 17.

The square root of 2222122121 is about 47139.3903333507. The cubic root of 2222122121 is about 1304.9362859436.

Adding to 2222122121 its reverse (1212212222), we get a palindrome (3434334343).

The spelling of 2222122121 in words is "two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".