110022112200 has 768 divisors, whose sum is σ = 470409891840. Its totient is φ = 20528640000.

The previous prime is 110022112199. The next prime is 110022112223. The reversal of 110022112200 is 2211220011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

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 191 ways as a sum of consecutive naturals, for example, 22219725 + ... + 22224675.

It is an arithmetic number, because the mean of its divisors is an integer number (612512880).

Almost surely, 2^110022112200 is an apocalyptic number.

110022112200 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 110022112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235204945920).

110022112200 is an abundant number, since it is smaller than the sum of its proper divisors (360387779640).

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

110022112200 is a wasteful number, since it uses less digits than its factorization.

110022112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110022112200 its reverse (2211220011), we get a palindrome (112233332211).

It can be divided in two parts, 110022 and 112200, that added together give a palindrome (222222).

The spelling of 110022112200 in words is "one hundred ten billion, twenty-two million, one hundred twelve thousand, two hundred".