100110311100 has 144 divisors (see below), whose sum is σ = 321967830240. Its totient is φ = 26685158400.

The previous prime is 100110311087. The next prime is 100110311123. The reversal of 100110311100 is 1113011001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 8258644 + ... + 8270756.

It is an arithmetic number, because the mean of its divisors is an integer number (2235887710).

Almost surely, 2^100110311100 is an apocalyptic number.

100110311100 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 100110311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160983915120).

100110311100 is an abundant number, since it is smaller than the sum of its proper divisors (221857519140).

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

100110311100 is a wasteful number, since it uses less digits than its factorization.

100110311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15197 (or 15184 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100110311100 its reverse (1113011001), we get a palindrome (101223322101).

The spelling of 100110311100 in words is "one hundred billion, one hundred ten million, three hundred eleven thousand, one hundred".