2021201011200 has 480 divisors, whose sum is σ = 7706411222400. Its totient is φ = 457408512000.

The previous prime is 2021201011103. The next prime is 2021201011201. The reversal of 2021201011200 is 21101021202.

It is a tau number, because it is divible by the number of its divisors (480).

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 (2021201011201) 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, 27111576 + ... + 27186024.

It is an arithmetic number, because the mean of its divisors is an integer number (16055023380).

Almost surely, 2^{2021201011200} is an apocalyptic number.

2021201011200 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 2021201011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853205611200).

2021201011200 is an abundant number, since it is smaller than the sum of its proper divisors (5685210211200).

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

2021201011200 is a wasteful number, since it uses less digits than its factorization.

2021201011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74588 (or 74567 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2021201011200 its reverse (21101021202), we get a palindrome (2042302032402).

The spelling of 2021201011200 in words is "two trillion, twenty-one billion, two hundred one million, eleven thousand, two hundred".