10110001020193 has 2 divisors, whose sum is σ = 10110001020194. Its totient is φ = 10110001020192.

The previous prime is 10110001020191. The next prime is 10110001020199. The reversal of 10110001020193 is 39102010001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8854361994384 + 1255639025809 = 2975628^2 + 1120553^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110001020193 - 2¹ = 10110001020191 is a prime.

Together with 10110001020191, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10110001020193.

It is not a weakly prime, because it can be changed into another prime (10110001020191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055000510096 + 5055000510097.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000510097).

Almost surely, 2^{10110001020193} is an apocalyptic number.

It is an amenable number.

10110001020193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110001020193 is an equidigital number, since it uses as much as digits as its factorization.

10110001020193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 10110001020193 its reverse (39102010001101), we get a palindrome (49212011021294).

The spelling of 10110001020193 in words is "ten trillion, one hundred ten billion, one million, twenty thousand, one hundred ninety-three".