110122001112200 has 288 divisors, whose sum is σ = 324932533611840. Its totient is φ = 34321463769600.

The previous prime is 110122001112197. The next prime is 110122001112269. The reversal of 110122001112200 is 2211100221011.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 71 ways as a sum of consecutive naturals, for example, 2440246037 + ... + 2440291163.

It is an arithmetic number, because the mean of its divisors is an integer number (1128237963930).

Almost surely, 2^{110122001112200} is an apocalyptic number.

110122001112200 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 110122001112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162466266805920).

110122001112200 is an abundant number, since it is smaller than the sum of its proper divisors (214810532499640).

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

110122001112200 is a wasteful number, since it uses less digits than its factorization.

110122001112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67805 (or 67789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110122001112200 its reverse (2211100221011), we get a palindrome (112333101333211).

The spelling of 110122001112200 in words is "one hundred ten trillion, one hundred twenty-two billion, one million, one hundred twelve thousand, two hundred".