Search a number
-
+
222112020101 is a prime number
BaseRepresentation
bin1100111011011011101…
…0000111011010000101
3210020022100221200122212
43032312322013122011
512114341134120401
6250011543233205
722022100006626
oct3166672073205
9706270850585
10222112020101
1186219499184
1237068a48805
1317c39432b3a
14aa70aa1a4d
155b9e82ddbb
hex33b6e87685

222112020101 has 2 divisors, whose sum is σ = 222112020102. Its totient is φ = 222112020100.

The previous prime is 222112020083. The next prime is 222112020103. The reversal of 222112020101 is 101020211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156190944100 + 65921076001 = 395210^2 + 256751^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112020101 - 214 = 222112003717 is a prime.

Together with 222112020103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222112020103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056010050 + 111056010051.

It is an arithmetic number, because the mean of its divisors is an integer number (111056010051).

Almost surely, 2222112020101 is an apocalyptic number.

It is an amenable number.

222112020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112020101 is an equidigital number, since it uses as much as digits as its factorization.

222112020101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222112020101 its reverse (101020211222), we get a palindrome (323132231323).

The spelling of 222112020101 in words is "two hundred twenty-two billion, one hundred twelve million, twenty thousand, one hundred one".