Search a number
-
+
2112212200121 is a prime number
BaseRepresentation
bin11110101111001001101…
…010000110101010111001
321110220222200220020101222
4132233021222012222321
5234101302310400441
64254200433521425
7305413405316402
oct36571152065271
97426880806358
102112212200121
117448697a3661
122a143b713275
13124247174a1a
14743357a89a9
1539e24401d4b
hex1ebc9a86ab9

2112212200121 has 2 divisors, whose sum is σ = 2112212200122. Its totient is φ = 2112212200120.

The previous prime is 2112212200117. The next prime is 2112212200139. The reversal of 2112212200121 is 1210022122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2060189432896 + 52022767225 = 1435336^2 + 228085^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112212200121 - 22 = 2112212200117 is a prime.

It is a super-2 number, since 2×21122122001212 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112212200121.

It is not a weakly prime, because it can be changed into another prime (2112212200421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056106100060 + 1056106100061.

It is an arithmetic number, because the mean of its divisors is an integer number (1056106100061).

Almost surely, 22112212200121 is an apocalyptic number.

It is an amenable number.

2112212200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112212200121 is an equidigital number, since it uses as much as digits as its factorization.

2112212200121 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 17.

Adding to 2112212200121 its reverse (1210022122112), we get a palindrome (3322234322233).

The spelling of 2112212200121 in words is "two trillion, one hundred twelve billion, two hundred twelve million, two hundred thousand, one hundred twenty-one".