102002002049 has 2 divisors, whose sum is σ = 102002002050. Its totient is φ = 102002002048.

The previous prime is 102002002021. The next prime is 102002002051. The reversal of 102002002049 is 940200200201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61240411024 + 40761591025 = 247468^2 + 201895^2 .

It is an emirp because it is prime and its reverse (940200200201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102002002049 - 2²⁸ = 101733566593 is a prime.

Together with 102002002051, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102002002049.

It is not a weakly prime, because it can be changed into another prime (102002002649) 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, 51001001024 + 51001001025.

It is an arithmetic number, because the mean of its divisors is an integer number (51001001025).

Almost surely, 2^102002002049 is an apocalyptic number.

It is an amenable number.

102002002049 is a deficient number, since it is larger than the sum of its proper divisors (1).

102002002049 is an equidigital number, since it uses as much as digits as its factorization.

102002002049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 102002002049 in words is "one hundred two billion, two million, two thousand, forty-nine".