100100110000 has 200 divisors, whose sum is σ = 267754291200. Its totient is φ = 35936160000.

The previous prime is 100100109911. The next prime is 100100110003. The reversal of 100100110000 is 11001001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (100100110003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8684241 + ... + 8695759.

It is an arithmetic number, because the mean of its divisors is an integer number (1338771456).

Almost surely, 2^100100110000 is an apocalyptic number.

100100110000 is a gapful number since it is divisible by the number (10) 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 100100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133877145600).

100100110000 is an abundant number, since it is smaller than the sum of its proper divisors (167654181200).

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

100100110000 is a wasteful number, since it uses less digits than its factorization.

100100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11637 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100100110000 its reverse (11001001), we get a palindrome (100111111001).

The spelling of 100100110000 in words is "one hundred billion, one hundred million, one hundred ten thousand".