2002001122091 has 2 divisors, whose sum is σ = 2002001122092. Its totient is φ = 2002001122090.

The previous prime is 2002001122063. The next prime is 2002001122151. The reversal of 2002001122091 is 1902211002002.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2002001122091 - 2²⁶ = 2001934013227 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002001182091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001000561045 + 1001000561046.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000561046).

Almost surely, 2^{2002001122091} is an apocalyptic number.

2002001122091 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002001122091 is an equidigital number, since it uses as much as digits as its factorization.

2002001122091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2002001122091 its reverse (1902211002002), we get a palindrome (3904212124093).

The spelling of 2002001122091 in words is "two trillion, two billion, one million, one hundred twenty-two thousand, ninety-one".