2002122185291 has 2 divisors, whose sum is σ = 2002122185292. Its totient is φ = 2002122185290.

The previous prime is 2002122185243. The next prime is 2002122185311. The reversal of 2002122185291 is 1925812212002.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2002122185291 - 2¹⁸ = 2002121923147 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002122185221) 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, 1001061092645 + 1001061092646.

It is an arithmetic number, because the mean of its divisors is an integer number (1001061092646).

Almost surely, 2^{2002122185291} is an apocalyptic number.

2002122185291 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002122185291 is an equidigital number, since it uses as much as digits as its factorization.

2002122185291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 35.

Adding to 2002122185291 its reverse (1925812212002), we get a palindrome (3927934397293).

The spelling of 2002122185291 in words is "two trillion, two billion, one hundred twenty-two million, one hundred eighty-five thousand, two hundred ninety-one".