100110001001112 has 32 divisors (see below), whose sum is σ = 278083336114800. Its totient is φ = 33370000333632.

The previous prime is 100110001001111. The next prime is 100110001001159. The reversal of 100110001001112 is 211100100011001.

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 = 100110001001094 and 100110001001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110001001111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231736113213 + ... + 231736113644.

Almost surely, 2^{100110001001112} is an apocalyptic number.

100110001001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110001001112 is an abundant number, since it is smaller than the sum of its proper divisors (177973335113688).

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

100110001001112 is a wasteful number, since it uses less digits than its factorization.

100110001001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463472226872 (or 463472226862 counting only the distinct ones).

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

Adding to 100110001001112 its reverse (211100100011001), we get a palindrome (311210101012113).

The spelling of 100110001001112 in words is "one hundred trillion, one hundred ten billion, one million, one thousand, one hundred twelve".