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2122110121 is a prime number
BaseRepresentation
bin111111001111100…
…1101010010101001
312110220010100211011
41332133031102221
513321230010441
6550324103521
7103405431655
oct17637152251
95426110734
102122110121
1199996a81a
124b2834ba1
1327a85c881
14161ba3a65
15c6483581
hex7e7cd4a9

2122110121 has 2 divisors, whose sum is σ = 2122110122. Its totient is φ = 2122110120.

The previous prime is 2122110083. The next prime is 2122110131. The reversal of 2122110121 is 1210112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1233414400 + 888695721 = 35120^2 + 29811^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122110121 - 27 = 2122109993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122110131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061055060 + 1061055061.

It is an arithmetic number, because the mean of its divisors is an integer number (1061055061).

Almost surely, 22122110121 is an apocalyptic number.

It is an amenable number.

2122110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122110121 is an equidigital number, since it uses as much as digits as its factorization.

2122110121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2122110121 is about 46066.3664835854. The cubic root of 2122110121 is about 1285.0577315127.

Adding to 2122110121 its reverse (1210112212), we get a palindrome (3332222333).

The spelling of 2122110121 in words is "two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".