200110111120 has 80 divisors (see below), whose sum is σ = 470430270000. Its totient is φ = 79158564864.

The previous prime is 200110111081. The next prime is 200110111151. The reversal of 200110111120 is 21111011002.

It can be written as a sum of positive squares in 8 ways, for example, as 11833958656 + 188276152464 = 108784^2 + 433908^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200110111097 and 200110111106.

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 15 ways as a sum of consecutive naturals, for example, 2693026 + ... + 2766334.

It is an arithmetic number, because the mean of its divisors is an integer number (5880378375).

Almost surely, 2^200110111120 is an apocalyptic number.

200110111120 is a gapful number since it is divisible by the number (20) 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 200110111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235215135000).

200110111120 is an abundant number, since it is smaller than the sum of its proper divisors (270320158880).

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

200110111120 is a wasteful number, since it uses less digits than its factorization.

200110111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73700 (or 73694 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 200110111120 its reverse (21111011002), we get a palindrome (221221122122).

The spelling of 200110111120 in words is "two hundred billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".