100000010000112 has 480 divisors, whose sum is σ = 284062579831296. Its totient is φ = 30280529664000.

The previous prime is 100000010000063. The next prime is 100000010000147. The reversal of 100000010000112 is 211000010000001.

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 100000010000112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6737175763 + ... + 6737190605.

Almost surely, 2^{100000010000112} is an apocalyptic number.

100000010000112 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 100000010000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142031289915648).

100000010000112 is an abundant number, since it is smaller than the sum of its proper divisors (184062569831184).

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

100000010000112 is a wasteful number, since it uses less digits than its factorization.

100000010000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15109 (or 15080 counting only the distinct ones).

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

Adding to 100000010000112 its reverse (211000010000001), we get a palindrome (311000020000113).

The spelling of 100000010000112 in words is "one hundred trillion, ten million, one hundred twelve", and thus it is an aban number.