1010110109993 has 2 divisors, whose sum is σ = 1010110109994. Its totient is φ = 1010110109992.

The previous prime is 1010110109963. The next prime is 1010110110029. The reversal of 1010110109993 is 3999010110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974806706329 + 35303403664 = 987323^2 + 187892^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010110109993 - 2²⁴ = 1010093332777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1010110109963) 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, 505055054996 + 505055054997.

It is an arithmetic number, because the mean of its divisors is an integer number (505055054997).

Almost surely, 2^{1010110109993} is an apocalyptic number.

It is an amenable number.

1010110109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010110109993 is an equidigital number, since it uses as much as digits as its factorization.

1010110109993 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 1010110109993 in words is "one trillion, ten billion, one hundred ten million, one hundred nine thousand, nine hundred ninety-three".