100011000000100 has 144 divisors (see below), whose sum is σ = 248309877456256. Its totient is φ = 34250428800000.

The previous prime is 100011000000083. The next prime is 100011000000133. The reversal of 100011000000100 is 1000000110001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100011000000100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7593266515 + ... + 7593279685.

Almost surely, 2^{100011000000100} is an apocalyptic number.

100011000000100 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 100011000000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124154938728128).

100011000000100 is an abundant number, since it is smaller than the sum of its proper divisors (148298877456156).

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

100011000000100 is a wasteful number, since it uses less digits than its factorization.

100011000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24726 (or 24719 counting only the distinct ones).

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

Adding to 100011000000100 its reverse (1000000110001), we get a palindrome (101011000110101).

The spelling of 100011000000100 in words is "one hundred trillion, eleven billion, one hundred", and thus it is an aban number.