1000100102849 has 2 divisors, whose sum is σ = 1000100102850. Its totient is φ = 1000100102848.

The previous prime is 1000100102803. The next prime is 1000100102879. The reversal of 1000100102849 is 9482010010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 739763409025 + 260336693824 = 860095^2 + 510232^2 .

It is an emirp because it is prime and its reverse (9482010010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000100102849 - 2⁸ = 1000100102593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1000100102879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050051424 + 500050051425.

It is an arithmetic number, because the mean of its divisors is an integer number (500050051425).

Almost surely, 2^{1000100102849} is an apocalyptic number.

It is an amenable number.

1000100102849 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100102849 is an equidigital number, since it uses as much as digits as its factorization.

1000100102849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 1000100102849 in words is "one trillion, one hundred million, one hundred two thousand, eight hundred forty-nine".