10500001093 has 2 divisors, whose sum is σ = 10500001094. Its totient is φ = 10500001092.

The previous prime is 10500001079. The next prime is 10500001129. The reversal of 10500001093 is 39010000501.

10500001093 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., 8908150689 + 1591850404 = 94383^2 + 39898^2 .

It is a cyclic number.

It is not a de Polignac number, because 10500001093 - 2¹³ = 10499992901 is a prime.

It is a super-2 number, since 2×10500001093² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10500001093.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10500001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250000546 + 5250000547.

It is an arithmetic number, because the mean of its divisors is an integer number (5250000547).

Almost surely, 2^10500001093 is an apocalyptic number.

It is an amenable number.

10500001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500001093 is an equidigital number, since it uses as much as digits as its factorization.

10500001093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 19.

Adding to 10500001093 its reverse (39010000501), we get a palindrome (49510001594).

The spelling of 10500001093 in words is "ten billion, five hundred million, one thousand, ninety-three".