110110022100 has 216 divisors, whose sum is σ = 371974239000. Its totient is φ = 27082736640.

The previous prime is 110110022081. The next prime is 110110022117. The reversal of 110110022100 is 1220011011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 105400219716 + 4709802384 = 324654^2 + 68628^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19150026 + ... + 19155774.

Almost surely, 2^110110022100 is an apocalyptic number.

110110022100 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 110110022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185987119500).

110110022100 is an abundant number, since it is smaller than the sum of its proper divisors (261864216900).

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

110110022100 is a wasteful number, since it uses less digits than its factorization.

110110022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110110022100 its reverse (1220011011), we get a palindrome (111330033111).

The spelling of 110110022100 in words is "one hundred ten billion, one hundred ten million, twenty-two thousand, one hundred".