100011000100 has 144 divisors (see below), whose sum is σ = 241774900416. Its totient is φ = 35603712000.

The previous prime is 100011000097. The next prime is 100011000113. The reversal of 100011000100 is 1000110001.

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 100011000100.

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, 10996555 + ... + 11005645.

It is an arithmetic number, because the mean of its divisors is an integer number (1678992364).

Almost surely, 2^100011000100 is an apocalyptic number.

100011000100 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 100011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120887450208).

100011000100 is an abundant number, since it is smaller than the sum of its proper divisors (141763900316).

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

100011000100 is a wasteful number, since it uses less digits than its factorization.

100011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9319 counting only the distinct ones).

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

Adding to 100011000100 its reverse (1000110001), we get a palindrome (101011110101).

100011000100 divided by its reverse (1000110001) gives a square (100 = 10²).

It can be divided in two parts, 10001 and 1000100, that multiplied together give a square (10002000100 = 100010²).

The spelling of 100011000100 in words is "one hundred billion, eleven million, one hundred", and thus it is an aban number.