100011111103344 has 80 divisors (see below), whose sum is σ = 295272445774592. Its totient is φ = 28574453528064.

The previous prime is 100011111103229. The next prime is 100011111103349. The reversal of 100011111103344 is 443301111110001.

100011111103344 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 100011111103344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011111103349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74190447 + ... + 75526449.

Almost surely, 2^{100011111103344} is an apocalyptic number.

100011111103344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100011111103344 is an abundant number, since it is smaller than the sum of its proper divisors (195261334671248).

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

100011111103344 is a wasteful number, since it uses less digits than its factorization.

100011111103344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558814 (or 1558808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 100011111103344 its reverse (443301111110001), we get a palindrome (543312222213345).

The spelling of 100011111103344 in words is "one hundred trillion, eleven billion, one hundred eleven million, one hundred three thousand, three hundred forty-four".