10102110193 has 16 divisors (see below), whose sum is σ = 11800123776. Its totient is φ = 8469878400.

The previous prime is 10102110167. The next prime is 10102110203. The reversal of 10102110193 is 39101120101.

It is a cyclic number.

It is not a de Polignac number, because 10102110193 - 2²¹ = 10100013041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102110193.

It is not an unprimeable number, because it can be changed into a prime (10102110793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27396 + ... + 144757.

It is an arithmetic number, because the mean of its divisors is an integer number (737507736).

Almost surely, 2^10102110193 is an apocalyptic number.

It is an amenable number.

10102110193 is a deficient number, since it is larger than the sum of its proper divisors (1698013583).

10102110193 is a wasteful number, since it uses less digits than its factorization.

10102110193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172344.

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

Adding to 10102110193 its reverse (39101120101), we get a palindrome (49203230294).

It can be divided in two parts, 10102 and 110193, that added together give a triangular number (120295 = T₄₉₀).

The spelling of 10102110193 in words is "ten billion, one hundred two million, one hundred ten thousand, one hundred ninety-three".