2201121000 has 256 divisors, whose sum is σ = 8218828800. Its totient is φ = 541728000.

The previous prime is 2201120927. The next prime is 2201121007. The reversal of 2201121000 is 1211022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2201121007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 347865 + ... + 354135.

It is an arithmetic number, because the mean of its divisors is an integer number (32104800).

Almost surely, 2^2201121000 is an apocalyptic number.

2201121000 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 2201121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109414400).

2201121000 is an abundant number, since it is smaller than the sum of its proper divisors (6017707800).

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

2201121000 is a wasteful number, since it uses less digits than its factorization.

2201121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2201121000 is about 46916.1059765194. The cubic root of 2201121000 is about 1300.8123128285.

Adding to 2201121000 its reverse (1211022), we get a palindrome (2202332022).

It can be divided in two parts, 2201 and 121000, that added together give a square (123201 = 351²).

The spelling of 2201121000 in words is "two billion, two hundred one million, one hundred twenty-one thousand".