200200100120 has 128 divisors (see below), whose sum is σ = 460140134400. Its totient is φ = 78376704000.

The previous prime is 200200100101. The next prime is 200200100167. The reversal of 200200100120 is 21001002002.

200200100120 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 (8).

It is a junction number, because it is equal to n+sod(n) for n = 200200100098 and 200200100107.

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 31 ways as a sum of consecutive naturals, for example, 417954041 + ... + 417954519.

It is an arithmetic number, because the mean of its divisors is an integer number (3594844800).

Almost surely, 2^200200100120 is an apocalyptic number.

200200100120 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 200200100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230070067200).

200200100120 is an abundant number, since it is smaller than the sum of its proper divisors (259940034280).

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

200200100120 is a wasteful number, since it uses less digits than its factorization.

200200100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).

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

Adding to 200200100120 its reverse (21001002002), we get a palindrome (221201102122).

The spelling of 200200100120 in words is "two hundred billion, two hundred million, one hundred thousand, one hundred twenty".