100001011104 has 240 divisors, whose sum is σ = 307666719360. Its totient is φ = 31803425280.

The previous prime is 100001011093. The next prime is 100001011129. The reversal of 100001011104 is 401110100001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26169514 + ... + 26173334.

It is an arithmetic number, because the mean of its divisors is an integer number (1281944664).

Almost surely, 2^100001011104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153833359680).

100001011104 is an abundant number, since it is smaller than the sum of its proper divisors (207665708256).

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

100001011104 is a wasteful number, since it uses less digits than its factorization.

100001011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4288 counting only the distinct ones).

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

Adding to 100001011104 its reverse (401110100001), we get a palindrome (501111111105).

The spelling of 100001011104 in words is "one hundred billion, one million, eleven thousand, one hundred four".