110011100110993 has 2 divisors, whose sum is σ = 110011100110994. Its totient is φ = 110011100110992.

The previous prime is 110011100110981. The next prime is 110011100111093. The reversal of 110011100110993 is 399011001110011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108748335493009 + 1262764617984 = 10428247^2 + 1123728^2 .

It is a cyclic number.

It is not a de Polignac number, because 110011100110993 - 2¹³ = 110011100102801 is a prime.

It is not a weakly prime, because it can be changed into another prime (110011100110193) 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, 55005550055496 + 55005550055497.

It is an arithmetic number, because the mean of its divisors is an integer number (55005550055497).

Almost surely, 2^{110011100110993} is an apocalyptic number.

It is an amenable number.

110011100110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110011100110993 is an equidigital number, since it uses as much as digits as its factorization.

110011100110993 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 28.

The spelling of 110011100110993 in words is "one hundred ten trillion, eleven billion, one hundred million, one hundred ten thousand, nine hundred ninety-three".