110010000109993 has 2 divisors, whose sum is σ = 110010000109994. Its totient is φ = 110010000109992.

The previous prime is 110010000109927. The next prime is 110010000110047. The reversal of 110010000109993 is 399901000010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99050106521664 + 10959893588329 = 9952392^2 + 3310573^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010000109993 - 2²⁵ = 110009966555561 is a prime.

It is not a weakly prime, because it can be changed into another prime (110010000109903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005000054996 + 55005000054997.

It is an arithmetic number, because the mean of its divisors is an integer number (55005000054997).

Almost surely, 2^{110010000109993} is an apocalyptic number.

It is an amenable number.

110010000109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010000109993 is an equidigital number, since it uses as much as digits as its factorization.

110010000109993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 34.

The spelling of 110010000109993 in words is "one hundred ten trillion, ten billion, one hundred nine thousand, nine hundred ninety-three".