2001220101200 has 120 divisors (see below), whose sum is σ = 4895822772288. Its totient is φ = 785987184640.

The previous prime is 2001220101151. The next prime is 2001220101217. The reversal of 2001220101200 is 21010221002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4629509 + ... + 5043291.

Almost surely, 2^{2001220101200} is an apocalyptic number.

2001220101200 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 2001220101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447911386144).

2001220101200 is an abundant number, since it is smaller than the sum of its proper divisors (2894602671088).

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

2001220101200 is a wasteful number, since it uses less digits than its factorization.

2001220101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414021 (or 414010 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001220101200 its reverse (21010221002), we get a palindrome (2022230322202).

The spelling of 2001220101200 in words is "two trillion, one billion, two hundred twenty million, one hundred one thousand, two hundred".