10616110101 has 64 divisors (see below), whose sum is σ = 16387107840. Its totient is φ = 6788275200.

The previous prime is 10616110079. The next prime is 10616110121. The reversal of 10616110101 is 10101161601.

10616110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10616110101 - 2¹⁷ = 10615979029 is a prime.

It is a super-3 number, since 3×10616110101³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10616110121) 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 63 ways as a sum of consecutive naturals, for example, 14482731 + ... + 14483463.

It is an arithmetic number, because the mean of its divisors is an integer number (256048560).

Almost surely, 2^10616110101 is an apocalyptic number.

It is an amenable number.

10616110101 is a deficient number, since it is larger than the sum of its proper divisors (5770997739).

10616110101 is a wasteful number, since it uses less digits than its factorization.

10616110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10616110101 its reverse (10101161601), we get a palindrome (20717271702).

The spelling of 10616110101 in words is "ten billion, six hundred sixteen million, one hundred ten thousand, one hundred one".