110100100009993 has 2 divisors, whose sum is σ = 110100100009994. Its totient is φ = 110100100009992.

The previous prime is 110100100009859. The next prime is 110100100010027. The reversal of 110100100009993 is 399900001001011.

It is an a-pointer prime, because the next prime (110100100010027) can be obtained adding 110100100009993 to its sum of digits (34).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92971866564864 + 17128233445129 = 9642192^2 + 4138627^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100100009993 - 2⁹ = 110100100009481 is a prime.

It is not a weakly prime, because it can be changed into another prime (110100100009093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050050004996 + 55050050004997.

It is an arithmetic number, because the mean of its divisors is an integer number (55050050004997).

Almost surely, 2^{110100100009993} is an apocalyptic number.

It is an amenable number.

110100100009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100100009993 is an equidigital number, since it uses as much as digits as its factorization.

110100100009993 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 34.

The spelling of 110100100009993 in words is "one hundred ten trillion, one hundred billion, one hundred million, nine thousand, nine hundred ninety-three".