201012313200 has 120 divisors (see below), whose sum is σ = 645364670208. Its totient is φ = 53482141440.

The previous prime is 201012313199. The next prime is 201012313207. The reversal of 201012313200 is 2313210102.

201012313200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201012313200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012313207) 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 23 ways as a sum of consecutive naturals, for example, 342537 + ... + 720663.

Almost surely, 2^201012313200 is an apocalyptic number.

201012313200 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 201012313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322682335104).

201012313200 is an abundant number, since it is smaller than the sum of its proper divisors (444352357008).

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

201012313200 is a wasteful number, since it uses less digits than its factorization.

201012313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378591 (or 378580 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 201012313200 its reverse (2313210102), we get a palindrome (203325523302).

The spelling of 201012313200 in words is "two hundred one billion, twelve million, three hundred thirteen thousand, two hundred".