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222221210221121 is a prime number
BaseRepresentation
bin110010100001101111101000…
…010010111111101001000001
31002010211010210012222222012212
4302201233220102333221001
5213111333014304033441
62104343003055231505
764543644514604036
oct6241575022775101
91063733705888185
10222221210221121
1164896538969431
1220b0bb61818595
1396cc4a7463637
143cc37c772938d
151aa573c49beeb
hexca1be84bfa41

222221210221121 has 2 divisors, whose sum is σ = 222221210221122. Its totient is φ = 222221210221120.

The previous prime is 222221210221093. The next prime is 222221210221123. The reversal of 222221210221121 is 121122012122222.

222221210221121 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., 129702032142400 + 92519178078721 = 11388680^2 + 9618689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222221210221121 is a prime.

Together with 222221210221123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (222221210221123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111110605110560 + 111110605110561.

It is an arithmetic number, because the mean of its divisors is an integer number (111110605110561).

Almost surely, 2222221210221121 is an apocalyptic number.

It is an amenable number.

222221210221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

222221210221121 is an equidigital number, since it uses as much as digits as its factorization.

222221210221121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 222221210221121 its reverse (121122012122222), we get a palindrome (343343222343343).

The spelling of 222221210221121 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty-one".