2002112002049 has 2 divisors, whose sum is σ = 2002112002050. Its totient is φ = 2002112002048.

The previous prime is 2002112001943. The next prime is 2002112002073. The reversal of 2002112002049 is 9402002112002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1989247905649 + 12864096400 = 1410407^2 + 113420^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112002049 - 2⁸ = 2002112001793 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002112002249) 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, 1001056001024 + 1001056001025.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056001025).

Almost surely, 2^{2002112002049} is an apocalyptic number.

It is an amenable number.

2002112002049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112002049 is an equidigital number, since it uses as much as digits as its factorization.

2002112002049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 2002112002049 in words is "two trillion, two billion, one hundred twelve million, two thousand, forty-nine".