2002123181 has 2 divisors, whose sum is σ = 2002123182. Its totient is φ = 2002123180.

The previous prime is 2002123163. The next prime is 2002123183. The reversal of 2002123181 is 1813212002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1466200681 + 535922500 = 38291^2 + 23150^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002123181 - 2²⁶ = 1935014317 is a prime.

It is a super-2 number, since 2×2002123181² = 8016994463795117522, which contains 22 as substring.

Together with 2002123183, 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 (2002123183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001061590 + 1001061591.

It is an arithmetic number, because the mean of its divisors is an integer number (1001061591).

Almost surely, 2^2002123181 is an apocalyptic number.

It is an amenable number.

2002123181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002123181 is an equidigital number, since it uses as much as digits as its factorization.

2002123181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2002123181 is about 44745.0911385819. The cubic root of 2002123181 is about 1260.3667322938.

Adding to 2002123181 its reverse (1813212002), we get a palindrome (3815335183).

The spelling of 2002123181 in words is "two billion, two million, one hundred twenty-three thousand, one hundred eighty-one".