100000120112112 has 160 divisors (see below), whose sum is σ = 289886810413824. Its totient is φ = 29438064230400.

The previous prime is 100000120112111. The next prime is 100000120112159. The reversal of 100000120112112 is 211211021000001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000120112111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8529783 + ... + 16515369.

Almost surely, 2^{100000120112112} is an apocalyptic number.

100000120112112 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 100000120112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144943405206912).

100000120112112 is an abundant number, since it is smaller than the sum of its proper divisors (189886690301712).

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

100000120112112 is a wasteful number, since it uses less digits than its factorization.

100000120112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986287 (or 7986281 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100000120112112 its reverse (211211021000001), we get a palindrome (311211141112113).

The spelling of 100000120112112 in words is "one hundred trillion, one hundred twenty million, one hundred twelve thousand, one hundred twelve".