110320310100 has 972 divisors, whose sum is σ = 443144261952. Its totient is φ = 21102681600.

The previous prime is 110320310081. The next prime is 110320310137. The reversal of 110320310100 is 1013023011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 300600117 + ... + 300600483.

Almost surely, 2^110320310100 is an apocalyptic number.

110320310100 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 110320310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221572130976).

110320310100 is an abundant number, since it is smaller than the sum of its proper divisors (332823951852).

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

110320310100 is a wasteful number, since it uses less digits than its factorization.

110320310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 110320310100 its reverse (1013023011), we get a palindrome (111333333111).

The spelling of 110320310100 in words is "one hundred ten billion, three hundred twenty million, three hundred ten thousand, one hundred".