10100112116 has 12 divisors (see below), whose sum is σ = 17732772288. Its totient is φ = 5033605752.

The previous prime is 10100112101. The next prime is 10100112133. The reversal of 10100112116 is 61121100101.

10100112116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10100112116.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4111196 + ... + 4113651.

It is an arithmetic number, because the mean of its divisors is an integer number (1477731024).

Almost surely, 2^10100112116 is an apocalyptic number.

It is an amenable number.

10100112116 is a deficient number, since it is larger than the sum of its proper divisors (7632660172).

10100112116 is a wasteful number, since it uses less digits than its factorization.

10100112116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225158 (or 8225156 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10100112116 its reverse (61121100101), we get a palindrome (71221212217).

The spelling of 10100112116 in words is "ten billion, one hundred million, one hundred twelve thousand, one hundred sixteen".