Search a number
-
+
22102020212101 is a prime number
BaseRepresentation
bin1010000011010000001110…
…00100000100010110000101
32220020221011210100002212221
411001220013010010112011
510344104414133241401
6115001310010212341
74440550444021444
oct501500704042605
986227153302787
1022102020212101
1170514612361a5
12258b629a240b1
13c44299a5a9cb
14565a5a1a8d5b
15284dce6047a1
hex141a07104585

22102020212101 has 2 divisors, whose sum is σ = 22102020212102. Its totient is φ = 22102020212100.

The previous prime is 22102020212099. The next prime is 22102020212141. The reversal of 22102020212101 is 10121202020122.

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., 13894517176225 + 8207503035876 = 3727535^2 + 2864874^2 .

It is a cyclic number.

It is not a de Polignac number, because 22102020212101 - 21 = 22102020212099 is a prime.

It is a super-2 number, since 2×221020202121012 (a number of 27 digits) contains 22 as substring.

Together with 22102020212099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22102020212141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11051010106050 + 11051010106051.

It is an arithmetic number, because the mean of its divisors is an integer number (11051010106051).

Almost surely, 222102020212101 is an apocalyptic number.

It is an amenable number.

22102020212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22102020212101 is an equidigital number, since it uses as much as digits as its factorization.

22102020212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22102020212101 its reverse (10121202020122), we get a palindrome (32223222232223).

The spelling of 22102020212101 in words is "twenty-two trillion, one hundred two billion, twenty million, two hundred twelve thousand, one hundred one".