110122100000 has 432 divisors, whose sum is σ = 314192390400. Its totient is φ = 37857600000.

The previous prime is 110122099999. The next prime is 110122100009. The reversal of 110122100000 is 1221011.

110122100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (110122100009) 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, 229899761 + ... + 229900239.

It is an arithmetic number, because the mean of its divisors is an integer number (727297200).

Almost surely, 2^110122100000 is an apocalyptic number.

110122100000 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 110122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157096195200).

110122100000 is an abundant number, since it is smaller than the sum of its proper divisors (204070290400).

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

110122100000 is an equidigital number, since it uses as much as digits as its factorization.

110122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110122100000 its reverse (1221011), we get a palindrome (110123321011).

The spelling of 110122100000 in words is "one hundred ten billion, one hundred twenty-two million, one hundred thousand".