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202221202121 is a prime number
BaseRepresentation
bin1011110001010101010…
…0101010101011001001
3201022222010212102222122
42330111110222223021
511303122111431441
6232522114101025
720416141566641
oct2742524525311
9638863772878
10202221202121
1178841662234
123323757a775
13160b9565163
149b050bb521
1553d847d34b
hex2f1552aac9

202221202121 has 2 divisors, whose sum is σ = 202221202122. Its totient is φ = 202221202120.

The previous prime is 202221202111. The next prime is 202221202123. The reversal of 202221202121 is 121202122202.

It is a happy number.

202221202121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197451366025 + 4769836096 = 444355^2 + 69064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202221202121 is a prime.

Together with 202221202123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202221202121.

It is not a weakly prime, because it can be changed into another prime (202221202123) 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, 101110601060 + 101110601061.

It is an arithmetic number, because the mean of its divisors is an integer number (101110601061).

Almost surely, 2202221202121 is an apocalyptic number.

It is an amenable number.

202221202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

202221202121 is an equidigital number, since it uses as much as digits as its factorization.

202221202121 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 17.

Adding to 202221202121 its reverse (121202122202), we get a palindrome (323423324323).

The spelling of 202221202121 in words is "two hundred two billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty-one".