2142164221 has 2 divisors, whose sum is σ = 2142164222. Its totient is φ = 2142164220.

The previous prime is 2142164159. The next prime is 2142164231. The reversal of 2142164221 is 1224612412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2068976196 + 73188025 = 45486^2 + 8555^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142164221 - 2²³ = 2133775613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2142164231) 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, 1071082110 + 1071082111.

It is an arithmetic number, because the mean of its divisors is an integer number (1071082111).

Almost surely, 2^2142164221 is an apocalyptic number.

It is an amenable number.

2142164221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142164221 is an equidigital number, since it uses as much as digits as its factorization.

2142164221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 25.

The square root of 2142164221 is about 46283.5199720160. The cubic root of 2142164221 is about 1289.0930108709.

Adding to 2142164221 its reverse (1224612412), we get a palindrome (3366776633).

The spelling of 2142164221 in words is "two billion, one hundred forty-two million, one hundred sixty-four thousand, two hundred twenty-one".