100100001110112 has 144 divisors (see below), whose sum is σ = 285090589051632. Its totient is φ = 33316160486400.

The previous prime is 100100001110111. The next prime is 100100001110147. The reversal of 100100001110112 is 211011100001001.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 100100001110094 and 100100001110103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001110111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508278862 + ... + 508475762.

It is an arithmetic number, because the mean of its divisors is an integer number (1979795757303).

Almost surely, 2^{100100001110112} is an apocalyptic number.

100100001110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100001110112 is an abundant number, since it is smaller than the sum of its proper divisors (184990587941520).

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

100100001110112 is a wasteful number, since it uses less digits than its factorization.

100100001110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199581 (or 199570 counting only the distinct ones).

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

Adding to 100100001110112 its reverse (211011100001001), we get a palindrome (311111101111113).

The spelling of 100100001110112 in words is "one hundred trillion, one hundred billion, one million, one hundred ten thousand, one hundred twelve".