100100010000 has 200 divisors, whose sum is σ = 327965692384. Its totient is φ = 26294400000.

The previous prime is 100100009993. The next prime is 100100010047. The reversal of 100100010000 is 10001001.

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 (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1985100 + ... + 2034900.

Almost surely, 2^100100010000 is an apocalyptic number.

100100010000 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 100100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163982846192).

100100010000 is an abundant number, since it is smaller than the sum of its proper divisors (227865682384).

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

100100010000 is an equidigital number, since it uses as much as digits as its factorization.

100100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49899 (or 49878 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 100100010000 its reverse (10001001), we get a palindrome (100110011001).

The spelling of 100100010000 in words is "one hundred billion, one hundred million, ten thousand".