201031101200 has 120 divisors (see below), whose sum is σ = 491741547360. Its totient is φ = 78956467200.

The previous prime is 201031101143. The next prime is 201031101211. The reversal of 201031101200 is 2101130102.

201031101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22108655 + ... + 22117745.

It is an arithmetic number, because the mean of its divisors is an integer number (4097846228).

Almost surely, 2^201031101200 is an apocalyptic number.

201031101200 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 201031101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245870773680).

201031101200 is an abundant number, since it is smaller than the sum of its proper divisors (290710446160).

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

201031101200 is a wasteful number, since it uses less digits than its factorization.

201031101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 10094 counting only the distinct ones).

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

Adding to 201031101200 its reverse (2101130102), we get a palindrome (203132231302).

The spelling of 201031101200 in words is "two hundred one billion, thirty-one million, one hundred one thousand, two hundred".