110122110100000 has 144 divisors (see below), whose sum is σ = 273617246500416. Its totient is φ = 43621181280000.

The previous prime is 110122110099917. The next prime is 110122110100081. The reversal of 110122110100000 is 1011221011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 110122110100000.

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 23 ways as a sum of consecutive naturals, for example, 4954267 + ... + 15645733.

It is an arithmetic number, because the mean of its divisors is an integer number (1900119767364).

Almost surely, 2^{110122110100000} is an apocalyptic number.

110122110100000 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 110122110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136808623250208).

110122110100000 is an abundant number, since it is smaller than the sum of its proper divisors (163495136400416).

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

110122110100000 is an equidigital number, since it uses as much as digits as its factorization.

110122110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691605 (or 10691577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110122110100000 its reverse (1011221011), we get a palindrome (110123121321011).

The spelling of 110122110100000 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred ten million, one hundred thousand".