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212220112121 is a prime number
BaseRepresentation
bin1100010110100101001…
…1011110110011111001
3202021202222120200220122
43011221103132303321
511434111322041441
6241254221303025
721222004122023
oct3055123366371
9667688520818
10212220112121
11820027a2316
1235168104a75
1317020c60454
14a3b3039013
1557c11c334b
hex31694decf9

212220112121 has 2 divisors, whose sum is σ = 212220112122. Its totient is φ = 212220112120.

The previous prime is 212220112109. The next prime is 212220112123. The reversal of 212220112121 is 121211022212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212211320896 + 8791225 = 460664^2 + 2965^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212220112121 is a prime.

It is a super-2 number, since 2×2122201121212 (a number of 23 digits) contains 22 as substring.

Together with 212220112123, 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 212220112121.

It is not a weakly prime, because it can be changed into another prime (212220112123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106110056060 + 106110056061.

It is an arithmetic number, because the mean of its divisors is an integer number (106110056061).

Almost surely, 2212220112121 is an apocalyptic number.

It is an amenable number.

212220112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212220112121 is an equidigital number, since it uses as much as digits as its factorization.

212220112121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212220112121 its reverse (121211022212), we get a palindrome (333431134333).

The spelling of 212220112121 in words is "two hundred twelve billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty-one".