201012101200 has 60 divisors (see below), whose sum is σ = 483151925628. Its totient is φ = 80368153600.

The previous prime is 201012101159. The next prime is 201012101207. The reversal of 201012101200 is 2101210102.

201012101200 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 139617856 + 200872483344 = 11816^2 + 448188^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012101207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 771660 + ... + 998740.

Almost surely, 2^201012101200 is an apocalyptic number.

201012101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012101200 is an abundant number, since it is smaller than the sum of its proper divisors (282139824428).

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

201012101200 is a wasteful number, since it uses less digits than its factorization.

201012101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229312 (or 229301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201012101200 its reverse (2101210102), we get a palindrome (203113311302).

The spelling of 201012101200 in words is "two hundred one billion, twelve million, one hundred one thousand, two hundred".