10100111993 has 2 divisors, whose sum is σ = 10100111994. Its totient is φ = 10100111992.

The previous prime is 10100111939. The next prime is 10100111999. The reversal of 10100111993 is 39911100101.

It is a happy number.

10100111993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10100111939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9579907129 + 520204864 = 97877^2 + 22808^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100111993 - 2²⁶ = 10033003129 is a prime.

It is a super-2 number, since 2×10100111993² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100111999) 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, 5050055996 + 5050055997.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055997).

Almost surely, 2^10100111993 is an apocalyptic number.

It is an amenable number.

10100111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111993 is an equidigital number, since it uses as much as digits as its factorization.

10100111993 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 26.

The spelling of 10100111993 in words is "ten billion, one hundred million, one hundred eleven thousand, nine hundred ninety-three".