10100011993 has 2 divisors, whose sum is σ = 10100011994. Its totient is φ = 10100011992.

The previous prime is 10100011973. The next prime is 10100012081. The reversal of 10100011993 is 39911000101.

10100011993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9468846864 + 631165129 = 97308^2 + 25123^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100011993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100011903) 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, 5050005996 + 5050005997.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005997).

Almost surely, 2^10100011993 is an apocalyptic number.

It is an amenable number.

10100011993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100011993 is an equidigital number, since it uses as much as digits as its factorization.

10100011993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 25.

The spelling of 10100011993 in words is "ten billion, one hundred million, eleven thousand, nine hundred ninety-three".