201002020200 has 144 divisors (see below), whose sum is σ = 675265937580. Its totient is φ = 53581946880.

The previous prime is 201002020189. The next prime is 201002020213. The reversal of 201002020200 is 2020200102.

201002020200 is digitally balanced in base 3, 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 6 ways, for example, as 102452486724 + 98549533476 = 320082^2 + 313926^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5628802 + ... + 5664398.

Almost surely, 2^201002020200 is an apocalyptic number.

201002020200 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 201002020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337632968790).

201002020200 is an abundant number, since it is smaller than the sum of its proper divisors (474263917380).

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

201002020200 is a wasteful number, since it uses less digits than its factorization.

201002020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38756 (or 38744 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 201002020200 its reverse (2020200102), we get a palindrome (203022220302).

The spelling of 201002020200 in words is "two hundred one billion, two million, twenty thousand, two hundred".