1000010099873 has 2 divisors, whose sum is σ = 1000010099874. Its totient is φ = 1000010099872.

The previous prime is 1000010099831. The next prime is 1000010099887. The reversal of 1000010099873 is 3789900100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 862805050129 + 137205049744 = 928873^2 + 370412^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010099873 - 2³⁸ = 725132192929 is a prime.

It is a super-2 number, since 2×1000010099873² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000010099173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005049936 + 500005049937.

It is an arithmetic number, because the mean of its divisors is an integer number (500005049937).

Almost surely, 2^{1000010099873} is an apocalyptic number.

It is an amenable number.

1000010099873 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010099873 is an equidigital number, since it uses as much as digits as its factorization.

1000010099873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 38.

Adding to 1000010099873 its reverse (3789900100001), we get a palindrome (4789910199874).

The spelling of 1000010099873 in words is "one trillion, ten million, ninety-nine thousand, eight hundred seventy-three".