2201013000 has 320 divisors, whose sum is σ = 7967559600. Its totient is φ = 566092800.

The previous prime is 2201012981. The next prime is 2201013011. The reversal of 2201013000 is 3101022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15824484 + 2185188516 = 3978^2 + 46746^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2348532 + ... + 2349468.

Almost surely, 2^2201013000 is an apocalyptic number.

2201013000 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 2201013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983779800).

2201013000 is an abundant number, since it is smaller than the sum of its proper divisors (5766546600).

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

2201013000 is a wasteful number, since it uses less digits than its factorization.

2201013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2201013000 is about 46914.9549717358. The cubic root of 2201013000 is about 1300.7910373016.

Adding to 2201013000 its reverse (3101022), we get a palindrome (2204114022).

The spelling of 2201013000 in words is "two billion, two hundred one million, thirteen thousand".