10000100112 has 80 divisors (see below), whose sum is σ = 26619671232. Its totient is φ = 3232535040.

The previous prime is 10000100107. The next prime is 10000100119. The reversal of 10000100112 is 21100100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10000100112.

It is not an unprimeable number, because it can be changed into a prime (10000100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536062 + ... + 554402.

Almost surely, 2^10000100112 is an apocalyptic number.

10000100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309835616).

10000100112 is an abundant number, since it is smaller than the sum of its proper divisors (16619571120).

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

10000100112 is a wasteful number, since it uses less digits than its factorization.

10000100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18696 (or 18690 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000100112 its reverse (21100100001), we get a palindrome (31100200113).

The spelling of 10000100112 in words is "ten billion, one hundred thousand, one hundred twelve".