2201020121100 has 144 divisors (see below), whose sum is σ = 6588145394208. Its totient is φ = 566906664960.

The previous prime is 2201020121057. The next prime is 2201020121177. The reversal of 2201020121100 is 11210201022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797014 + ... + 2244386.

It is an arithmetic number, because the mean of its divisors is an integer number (45751009682).

Almost surely, 2^{2201020121100} is an apocalyptic number.

2201020121100 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 2201020121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294072697104).

2201020121100 is an abundant number, since it is smaller than the sum of its proper divisors (4387125273108).

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

2201020121100 is a wasteful number, since it uses less digits than its factorization.

2201020121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447564 (or 1447557 counting only the distinct ones).

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

Adding to 2201020121100 its reverse (11210201022), we get a palindrome (2212230322122).

The spelling of 2201020121100 in words is "two trillion, two hundred one billion, twenty million, one hundred twenty-one thousand, one hundred".