10110100009993 has 2 divisors, whose sum is σ = 10110100009994. Its totient is φ = 10110100009992.

The previous prime is 10110100009987. The next prime is 10110100010057. The reversal of 10110100009993 is 39990000101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9041880608784 + 1068219401209 = 3006972^2 + 1033547^2 .

It is an emirp because it is prime and its reverse (39990000101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10110100009993 - 2²¹ = 10110097912841 is a prime.

It is not a weakly prime, because it can be changed into another prime (10110100009693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055050004996 + 5055050004997.

It is an arithmetic number, because the mean of its divisors is an integer number (5055050004997).

Almost surely, 2^{10110100009993} is an apocalyptic number.

It is an amenable number.

10110100009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110100009993 is an equidigital number, since it uses as much as digits as its factorization.

10110100009993 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 10110100009993 in words is "ten trillion, one hundred ten billion, one hundred million, nine thousand, nine hundred ninety-three".