20001121002200 has 96 divisors (see below), whose sum is σ = 50104870687200. Its totient is φ = 7381321896960.

The previous prime is 20001121002167. The next prime is 20001121002211. The reversal of 20001121002200 is 220012110002.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3251861 + ... + 7111739.

It is an arithmetic number, because the mean of its divisors is an integer number (521925736325).

Almost surely, 2^{20001121002200} is an apocalyptic number.

20001121002200 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 20001121002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25052435343600).

20001121002200 is an abundant number, since it is smaller than the sum of its proper divisors (30103749685000).

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

20001121002200 is a wasteful number, since it uses less digits than its factorization.

20001121002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861901 (or 3861892 counting only the distinct ones).

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

Adding to 20001121002200 its reverse (220012110002), we get a palindrome (20221133112202).

The spelling of 20001121002200 in words is "twenty trillion, one billion, one hundred twenty-one million, two thousand, two hundred".