10010011109993 has 2 divisors, whose sum is σ = 10010011109994. Its totient is φ = 10010011109992.

The previous prime is 10010011109977. The next prime is 10010011110017. The reversal of 10010011109993 is 39990111001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9565244829529 + 444766280464 = 3092773^2 + 666908^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010011109993 - 2⁴ = 10010011109977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010011109893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005554996 + 5005005554997.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005554997).

Almost surely, 2^{10010011109993} is an apocalyptic number.

It is an amenable number.

10010011109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010011109993 is an equidigital number, since it uses as much as digits as its factorization.

10010011109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 35.

The spelling of 10010011109993 in words is "ten trillion, ten billion, eleven million, one hundred nine thousand, nine hundred ninety-three".