100110011010012 has 120 divisors (see below), whose sum is σ = 264987745752576. Its totient is φ = 32952109843872.

The previous prime is 100110011010011. The next prime is 100110011010049. The reversal of 100110011010012 is 210010110011001.

100110011010012 is digitally balanced in base 4, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 100110011009976 and 100110011010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110011010011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55122453 + ... + 56909619.

Almost surely, 2^{100110011010012} is an apocalyptic number.

100110011010012 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 100110011010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132493872876288).

100110011010012 is an abundant number, since it is smaller than the sum of its proper divisors (164877734742564).

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

100110011010012 is a wasteful number, since it uses less digits than its factorization.

100110011010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789349 (or 1789338 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110011010012 its reverse (210010110011001), we get a palindrome (310120121021013).

The spelling of 100110011010012 in words is "one hundred trillion, one hundred ten billion, eleven million, ten thousand, twelve".