200120002110 has 640 divisors, whose sum is σ = 692198369280. Its totient is φ = 40382447616.

The previous prime is 200120002079. The next prime is 200120002133. The reversal of 200120002110 is 11200021002.

200120002110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 200120002092 and 200120002101.

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 206948847 + ... + 206949813.

It is an arithmetic number, because the mean of its divisors is an integer number (1081559952).

Almost surely, 2^200120002110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346099184640).

200120002110 is an abundant number, since it is smaller than the sum of its proper divisors (492078367170).

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

200120002110 is a wasteful number, since it uses less digits than its factorization.

200120002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1133 counting only the distinct ones).

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

Adding to 200120002110 its reverse (11200021002), we get a palindrome (211320023112).

The spelling of 200120002110 in words is "two hundred billion, one hundred twenty million, two thousand, one hundred ten".