201302100311200 has 216 divisors, whose sum is σ = 601749494942400. Its totient is φ = 65385343618560.

The previous prime is 201302100311171. The next prime is 201302100311203. The reversal of 201302100311200 is 2113001203102.

201302100311200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (201302100311203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134393560 + ... + 135883159.

It is an arithmetic number, because the mean of its divisors is an integer number (2785877291400).

Almost surely, 2^{201302100311200} is an apocalyptic number.

201302100311200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201302100311200 is an abundant number, since it is smaller than the sum of its proper divisors (400447394631200).

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

201302100311200 is a wasteful number, since it uses less digits than its factorization.

201302100311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270276772 (or 270276752 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201302100311200 its reverse (2113001203102), we get a palindrome (203415101514302).

The spelling of 201302100311200 in words is "two hundred one trillion, three hundred two billion, one hundred million, three hundred eleven thousand, two hundred".