100110011000100 has 576 divisors, whose sum is σ = 303353432304384. Its totient is φ = 25470204641280.

The previous prime is 100110011000063. The next prime is 100110011000107. The reversal of 100110011000100 is 1000110011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is not an unprimeable number, because it can be changed into a prime (100110011000107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86825681124 + ... + 86825682276.

Almost surely, 2^{100110011000100} is an apocalyptic number.

100110011000100 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 100110011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151676716152192).

100110011000100 is an abundant number, since it is smaller than the sum of its proper divisors (203243421304284).

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

100110011000100 is a wasteful number, since it uses less digits than its factorization.

100110011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100110011000100 its reverse (1000110011001), we get a palindrome (101110121011101).

The spelling of 100110011000100 in words is "one hundred trillion, one hundred ten billion, eleven million, one hundred", and thus it is an aban number.