2122123181 has 2 divisors, whose sum is σ = 2122123182. Its totient is φ = 2122123180.

The previous prime is 2122123099. The next prime is 2122123183. The reversal of 2122123181 is 1813212212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2033198281 + 88924900 = 45091^2 + 9430^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122123181 - 2¹⁴ = 2122106797 is a prime.

It is a super-4 number, since 4×2122123181⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 2122123183, 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 (2122123183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061061590 + 1061061591.

It is an arithmetic number, because the mean of its divisors is an integer number (1061061591).

Almost surely, 2^2122123181 is an apocalyptic number.

It is an amenable number.

2122123181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122123181 is an equidigital number, since it uses as much as digits as its factorization.

2122123181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 23.

The square root of 2122123181 is about 46066.5082353764. The cubic root of 2122123181 is about 1285.0603676969.

Adding to 2122123181 its reverse (1813212212), we get a palindrome (3935335393).

The spelling of 2122123181 in words is "two billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred eighty-one".