Search a number
-
+
2122122202021 is a prime number
BaseRepresentation
bin11110111000011000010…
…101110000101110100101
321111212120100022111100101
4132320120111300232211
5234232101240431041
64302520043344101
7306214111044253
oct36703025605645
97455510274311
102122122202021
11748a94728778
122a3346522031
13125166311083
14749d59c15d3
153a304433b31
hex1ee18570ba5

2122122202021 has 2 divisors, whose sum is σ = 2122122202022. Its totient is φ = 2122122202020.

The previous prime is 2122122202019. The next prime is 2122122202027. The reversal of 2122122202021 is 1202022212212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1998858716100 + 123263485921 = 1413810^2 + 351089^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122122202021 - 21 = 2122122202019 is a prime.

Together with 2122122202019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2122122202021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122122202027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061061101010 + 1061061101011.

It is an arithmetic number, because the mean of its divisors is an integer number (1061061101011).

Almost surely, 22122122202021 is an apocalyptic number.

It is an amenable number.

2122122202021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122122202021 is an equidigital number, since it uses as much as digits as its factorization.

2122122202021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2122122202021 its reverse (1202022212212), we get a palindrome (3324144414233).

The spelling of 2122122202021 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, twenty-one".