10100000110112 has 48 divisors (see below), whose sum is σ = 22968048392352. Its totient is φ = 4320855659520.

The previous prime is 10100000110111. The next prime is 10100000110153. The reversal of 10100000110112 is 21101100000101.

It is a happy number.

10100000110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10100000110112.

It is not an unprimeable number, because it can be changed into a prime (10100000110111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 843911138 + ... + 843923105.

It is an arithmetic number, because the mean of its divisors is an integer number (478501008174).

Almost surely, 2^{10100000110112} is an apocalyptic number.

It is an amenable number.

10100000110112 is an abundant number, since it is smaller than the sum of its proper divisors (12868048282240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100000110112 is a wasteful number, since it uses less digits than its factorization.

10100000110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687834281 (or 1687834273 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100000110112 its reverse (21101100000101), we get a palindrome (31201100110213).

The spelling of 10100000110112 in words is "ten trillion, one hundred billion, one hundred ten thousand, one hundred twelve".