100011001104 has 160 divisors (see below), whose sum is σ = 328220064000. Its totient is φ = 28562236416.

The previous prime is 100011001093. The next prime is 100011001109. The reversal of 100011001104 is 401100110001.

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

It is not an unprimeable number, because it can be changed into a prime (100011001109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8791132 + ... + 8802500.

It is an arithmetic number, because the mean of its divisors is an integer number (2051375400).

Almost surely, 2^100011001104 is an apocalyptic number.

100011001104 is a gapful number since it is divisible by the number (14) 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 100011001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164110032000).

100011001104 is an abundant number, since it is smaller than the sum of its proper divisors (228209062896).

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

100011001104 is a wasteful number, since it uses less digits than its factorization.

100011001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14302 (or 14290 counting only the distinct ones).

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

Adding to 100011001104 its reverse (401100110001), we get a palindrome (501111111105).

The spelling of 100011001104 in words is "one hundred billion, eleven million, one thousand, one hundred four".