1001210002049 has 2 divisors, whose sum is σ = 1001210002050. Its totient is φ = 1001210002048.

The previous prime is 1001210001943. The next prime is 1001210002151. The reversal of 1001210002049 is 9402000121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984014400625 + 17195601424 = 991975^2 + 131132^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001210002049 - 2⁸ = 1001210001793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001210002049.

It is not a weakly prime, because it can be changed into another prime (1001210001049) 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, 500605001024 + 500605001025.

It is an arithmetic number, because the mean of its divisors is an integer number (500605001025).

Almost surely, 2^{1001210002049} is an apocalyptic number.

It is an amenable number.

1001210002049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001210002049 is an equidigital number, since it uses as much as digits as its factorization.

1001210002049 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.

The spelling of 1001210002049 in words is "one trillion, one billion, two hundred ten million, two thousand, forty-nine".