100110011002112 has 72 divisors (see below), whose sum is σ = 201436105812480. Its totient is φ = 49653369907200.

The previous prime is 100110011002091. The next prime is 100110011002151. The reversal of 100110011002112 is 211200110011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110011002093 and 100110011002102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25580753 + ... + 29233455.

It is an arithmetic number, because the mean of its divisors is an integer number (2797723691840).

Almost surely, 2^{100110011002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100718052906240).

100110011002112 is an abundant number, since it is smaller than the sum of its proper divisors (101326094810368).

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

100110011002112 is an equidigital number, since it uses as much as digits as its factorization.

100110011002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653579 (or 3653565 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100110011002112 its reverse (211200110011001), we get a palindrome (311310121013113).

The spelling of 100110011002112 in words is "one hundred trillion, one hundred ten billion, eleven million, two thousand, one hundred twelve".