200101311200 has 144 divisors (see below), whose sum is σ = 558547063200. Its totient is φ = 68573675520.

The previous prime is 200101311197. The next prime is 200101311209. The reversal of 200101311200 is 2113101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101311209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13841576 + ... + 13856024.

It is an arithmetic number, because the mean of its divisors is an integer number (3878799050).

Almost surely, 2^200101311200 is an apocalyptic number.

200101311200 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 200101311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279273531600).

200101311200 is an abundant number, since it is smaller than the sum of its proper divisors (358445752000).

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

200101311200 is a wasteful number, since it uses less digits than its factorization.

200101311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16949 (or 16936 counting only the distinct ones).

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

Adding to 200101311200 its reverse (2113101002), we get a palindrome (202214412202).

The spelling of 200101311200 in words is "two hundred billion, one hundred one million, three hundred eleven thousand, two hundred".