110001022000200 has 576 divisors, whose sum is σ = 387878794168320. Its totient is φ = 27904580352000.

The previous prime is 110001022000193. The next prime is 110001022000211. The reversal of 110001022000200 is 2000220100011.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 143 ways as a sum of consecutive naturals, for example, 3102010470 + ... + 3102045930.

It is an arithmetic number, because the mean of its divisors is an integer number (673400684320).

Almost surely, 2^{110001022000200} is an apocalyptic number.

110001022000200 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 110001022000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193939397084160).

110001022000200 is an abundant number, since it is smaller than the sum of its proper divisors (277877772168120).

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

110001022000200 is a wasteful number, since it uses less digits than its factorization.

110001022000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36558 (or 36546 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110001022000200 its reverse (2000220100011), we get a palindrome (112001242100211).

The spelling of 110001022000200 in words is "one hundred ten trillion, one billion, twenty-two million, two hundred", and thus it is an aban number.