100011100001112 has 256 divisors, whose sum is σ = 289841880240000. Its totient is φ = 31913838673920.

The previous prime is 100011100001081. The next prime is 100011100001159. The reversal of 100011100001112 is 211100001110001.

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 = 100011100001094 and 100011100001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345559248 + ... + 345848544.

Almost surely, 2^{100011100001112} is an apocalyptic number.

100011100001112 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 100011100001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144920940120000).

100011100001112 is an abundant number, since it is smaller than the sum of its proper divisors (189830780238888).

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

100011100001112 is a wasteful number, since it uses less digits than its factorization.

100011100001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289811 (or 289801 counting only the distinct ones).

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

Adding to 100011100001112 its reverse (211100001110001), we get a palindrome (311111101111113).

The spelling of 100011100001112 in words is "one hundred trillion, eleven billion, one hundred million, one thousand, one hundred twelve".