13102110101 has 16 divisors (see below), whose sum is σ = 13592078640. Its totient is φ = 12621127680.

The previous prime is 13102110097. The next prime is 13102110121. The reversal of 13102110101 is 10101120131.

It is a happy number.

13102110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11853547876 + 1248562225 = 108874^2 + 35335^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102110101 - 2² = 13102110097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102110121) 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 in 15 ways as a sum of consecutive naturals, for example, 1241021 + ... + 1251533.

It is an arithmetic number, because the mean of its divisors is an integer number (849504915).

Almost surely, 2^13102110101 is an apocalyptic number.

It is an amenable number.

13102110101 is a deficient number, since it is larger than the sum of its proper divisors (489968539).

13102110101 is a wasteful number, since it uses less digits than its factorization.

13102110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 13102110101 its reverse (10101120131), we get a palindrome (23203230232).

The spelling of 13102110101 in words is "thirteen billion, one hundred two million, one hundred ten thousand, one hundred one".