10101001099993 has 2 divisors, whose sum is σ = 10101001099994. Its totient is φ = 10101001099992.

The previous prime is 10101001099933. The next prime is 10101001100077. The reversal of 10101001099993 is 39999010010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9454075263504 + 646925836489 = 3074748^2 + 804317^2 .

It is an emirp because it is prime and its reverse (39999010010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10101001099993 - 2¹⁷ = 10101000968921 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101001099933) 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, 5050500549996 + 5050500549997.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500549997).

Almost surely, 2^{10101001099993} is an apocalyptic number.

It is an amenable number.

10101001099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101001099993 is an equidigital number, since it uses as much as digits as its factorization.

10101001099993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19683, while the sum is 43.

The spelling of 10101001099993 in words is "ten trillion, one hundred one billion, one million, ninety-nine thousand, nine hundred ninety-three".