110130012122200 has 288 divisors, whose sum is σ = 308751681484800. Its totient is φ = 36387919008000.

The previous prime is 110130012122183. The next prime is 110130012122209. The reversal of 110130012122200 is 2221210031011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110130012122209) by changing a digit.

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, 71849815 + ... + 73366585.

It is an arithmetic number, because the mean of its divisors is an integer number (1072054449600).

Almost surely, 2^{110130012122200} is an apocalyptic number.

110130012122200 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 110130012122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154375840742400).

110130012122200 is an abundant number, since it is smaller than the sum of its proper divisors (198621669362600).

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

110130012122200 is a wasteful number, since it uses less digits than its factorization.

110130012122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517071 (or 1517055 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 110130012122200 its reverse (2221210031011), we get a palindrome (112351222153211).

The spelling of 110130012122200 in words is "one hundred ten trillion, one hundred thirty billion, twelve million, one hundred twenty-two thousand, two hundred".