201101013200 has 120 divisors (see below), whose sum is σ = 490158365208. Its totient is φ = 79274557440.

The previous prime is 201101013187. The next prime is 201101013209. The reversal of 201101013200 is 2310101102.

201101013200 is digitally balanced in base 2, 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 12 ways, for example, as 74014467136 + 127086546064 = 272056^2 + 356492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201101013209) 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, 54689762 + ... + 54693438.

Almost surely, 2^201101013200 is an apocalyptic number.

201101013200 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 201101013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245079182604).

201101013200 is an abundant number, since it is smaller than the sum of its proper divisors (289057352008).

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

201101013200 is a wasteful number, since it uses less digits than its factorization.

201101013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 201101013200 its reverse (2310101102), we get a palindrome (203411114302).

The spelling of 201101013200 in words is "two hundred one billion, one hundred one million, thirteen thousand, two hundred".