200100201012 has 120 divisors (see below), whose sum is σ = 530675822600. Its totient is φ = 65735691264.

The previous prime is 200100200977. The next prime is 200100201019. The reversal of 200100201012 is 210102001002.

200100201012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27554672016 + 172545528996 = 165996^2 + 415386^2 .

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 = 200100200985 and 200100201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200100201019) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 42311064 + ... + 42315792.

Almost surely, 2^200100201012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200100201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265337911300).

200100201012 is an abundant number, since it is smaller than the sum of its proper divisors (330575621588).

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

200100201012 is a wasteful number, since it uses less digits than its factorization.

200100201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6596 counting only the distinct ones).

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

Adding to 200100201012 its reverse (210102001002), we get a palindrome (410202202014).

The spelling of 200100201012 in words is "two hundred billion, one hundred million, two hundred one thousand, twelve".