100010000011104 has 72 divisors (see below), whose sum is σ = 296768804400432. Its totient is φ = 31887246378240.

The previous prime is 100010000011093. The next prime is 100010000011111. The reversal of 100010000011104 is 401110000010001.

100010000011104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7549057387 + ... + 7549070634.

It is an arithmetic number, because the mean of its divisors is an integer number (4121788950006).

Almost surely, 2^{100010000011104} is an apocalyptic number.

It is an amenable number.

100010000011104 is an abundant number, since it is smaller than the sum of its proper divisors (196758804389328).

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

100010000011104 is a wasteful number, since it uses less digits than its factorization.

100010000011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15098128060 (or 15098128049 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100010000011104 its reverse (401110000010001), we get a palindrome (501120000021105).

The spelling of 100010000011104 in words is "one hundred trillion, ten billion, eleven thousand, one hundred four".