110200000110200 has 1152 divisors, whose sum is σ = 375594335424000. Its totient is φ = 29000847052800.

The previous prime is 110200000110199. The next prime is 110200000110241. The reversal of 110200000110200 is 2011000002011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2095867511 + ... + 2095920089.

It is an arithmetic number, because the mean of its divisors is an integer number (326036749500).

Almost surely, 2^{110200000110200} is an apocalyptic number.

110200000110200 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 110200000110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187797167712000).

110200000110200 is an abundant number, since it is smaller than the sum of its proper divisors (265394335313800).

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

110200000110200 is a wasteful number, since it uses less digits than its factorization.

110200000110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52693 (or 52665 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110200000110200 its reverse (2011000002011), we get a palindrome (112211000112211).

The spelling of 110200000110200 in words is "one hundred ten trillion, two hundred billion, one hundred ten thousand, two hundred".