1000100000093 has 2 divisors, whose sum is σ = 1000100000094. Its totient is φ = 1000100000092.

The previous prime is 1000100000087. The next prime is 1000100000101. The reversal of 1000100000093 is 3900000010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 596573953924 + 403526046169 = 772382^2 + 635237^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100000093 - 2²⁸ = 999831564637 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000100000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050000046 + 500050000047.

It is an arithmetic number, because the mean of its divisors is an integer number (500050000047).

Almost surely, 2^{1000100000093} is an apocalyptic number.

It is an amenable number.

1000100000093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100000093 is an equidigital number, since it uses as much as digits as its factorization.

1000100000093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1000100000093 its reverse (3900000010001), we get a palindrome (4900100010094).

The spelling of 1000100000093 in words is "one trillion, one hundred million, ninety-three", and thus it is an aban number.