110160821100 has 288 divisors, whose sum is σ = 374208049152. Its totient is φ = 24721920000.

The previous prime is 110160821081. The next prime is 110160821171. The reversal of 110160821100 is 1128061011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3406005 + ... + 3438195.

It is an arithmetic number, because the mean of its divisors is an integer number (1299333504).

Almost surely, 2^110160821100 is an apocalyptic number.

110160821100 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 110160821100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187104024576).

110160821100 is an abundant number, since it is smaller than the sum of its proper divisors (264047228052).

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

110160821100 is a wasteful number, since it uses less digits than its factorization.

110160821100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32297 (or 32290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 110160821100 its reverse (1128061011), we get a palindrome (111288882111).

The spelling of 110160821100 in words is "one hundred ten billion, one hundred sixty million, eight hundred twenty-one thousand, one hundred".