110122221222200 has 192 divisors, whose sum is σ = 284095464048000. Its totient is φ = 39358601408000.

The previous prime is 110122221222179. The next prime is 110122221222281. The reversal of 110122221222200 is 2222122221011.

It is a super-2 number, since 2×110122221222200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745107911 + ... + 745255689.

It is an arithmetic number, because the mean of its divisors is an integer number (1479663875250).

Almost surely, 2^{110122221222200} is an apocalyptic number.

110122221222200 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 110122221222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142047732024000).

110122221222200 is an abundant number, since it is smaller than the sum of its proper divisors (173973242825800).

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

110122221222200 is a wasteful number, since it uses less digits than its factorization.

110122221222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153606 (or 153597 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 110122221222200 its reverse (2222122221011), we get a palindrome (112344343443211).

The spelling of 110122221222200 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred".