100000010112 has 128 divisors (see below), whose sum is σ = 288852078240. Its totient is φ = 30524571648.

The previous prime is 100000010101. The next prime is 100000010141. The reversal of 100000010112 is 211010000001.

It is a tau number, because it is divible by the number of its divisors (128).

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 100000010112.

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 15 ways as a sum of consecutive naturals, for example, 34528 + ... + 448544.

Almost surely, 2^100000010112 is an apocalyptic number.

100000010112 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 100000010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144426039120).

100000010112 is an abundant number, since it is smaller than the sum of its proper divisors (188852068128).

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

100000010112 is a wasteful number, since it uses less digits than its factorization.

100000010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414088 (or 414076 counting only the distinct ones).

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

Adding to 100000010112 its reverse (211010000001), we get a palindrome (311010010113).

The spelling of 100000010112 in words is "one hundred billion, ten thousand, one hundred twelve".