100006811321 has 2 divisors, whose sum is σ = 100006811322. Its totient is φ = 100006811320.

The previous prime is 100006811243. The next prime is 100006811381. The reversal of 100006811321 is 123118600001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74395290025 + 25611521296 = 272755^2 + 160036^2 .

It is an emirp because it is prime and its reverse (123118600001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100006811321 - 2¹⁸ = 100006549177 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 (100006811381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50003405660 + 50003405661.

It is an arithmetic number, because the mean of its divisors is an integer number (50003405661).

Almost surely, 2^100006811321 is an apocalyptic number.

It is an amenable number.

100006811321 is a deficient number, since it is larger than the sum of its proper divisors (1).

100006811321 is an equidigital number, since it uses as much as digits as its factorization.

100006811321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 100006811321 in words is "one hundred billion, six million, eight hundred eleven thousand, three hundred twenty-one".