201012103200 has 288 divisors, whose sum is σ = 667464779520. Its totient is φ = 52529996800.

The previous prime is 201012103169. The next prime is 201012103207. The reversal of 201012103200 is 2301210102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201012103207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49133155 + ... + 49137245.

It is an arithmetic number, because the mean of its divisors is an integer number (2317586040).

Almost surely, 2^201012103200 is an apocalyptic number.

201012103200 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 201012103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333732389760).

201012103200 is an abundant number, since it is smaller than the sum of its proper divisors (466452676320).

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

201012103200 is a wasteful number, since it uses less digits than its factorization.

201012103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201012103200 its reverse (2301210102), we get a palindrome (203313313302).

The spelling of 201012103200 in words is "two hundred one billion, twelve million, one hundred three thousand, two hundred".