4102110101993 has 2 divisors, whose sum is σ = 4102110101994. Its totient is φ = 4102110101992.

The previous prime is 4102110101987. The next prime is 4102110102001. The reversal of 4102110101993 is 3991010112014.

4102110101993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4066889322409 + 35220779584 = 2016653^2 + 187672^2 .

It is a cyclic number.

It is not a de Polignac number, because 4102110101993 - 2¹⁰ = 4102110100969 is a prime.

It is not a weakly prime, because it can be changed into another prime (4102110101963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2051055050996 + 2051055050997.

It is an arithmetic number, because the mean of its divisors is an integer number (2051055050997).

Almost surely, 2^{4102110101993} is an apocalyptic number.

It is an amenable number.

4102110101993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4102110101993 is an equidigital number, since it uses as much as digits as its factorization.

4102110101993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 4102110101993 in words is "four trillion, one hundred two billion, one hundred ten million, one hundred one thousand, nine hundred ninety-three".