2201300003300 has 72 divisors (see below), whose sum is σ = 4858594316520. Its totient is φ = 865467187200.

The previous prime is 2201300003297. The next prime is 2201300003327. The reversal of 2201300003300 is 33000031022.

It can be written as a sum of positive squares in 12 ways, for example, as 1128115888384 + 1073184114916 = 1062128^2 + 1035946^2 .

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, 8466842 + ... + 8722958.

Almost surely, 2^{2201300003300} is an apocalyptic number.

2201300003300 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 2201300003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429297158260).

2201300003300 is an abundant number, since it is smaller than the sum of its proper divisors (2657294313220).

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

2201300003300 is a wasteful number, since it uses less digits than its factorization.

2201300003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257601 (or 257594 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 2201300003300 its reverse (33000031022), we get a palindrome (2234300034322).

The spelling of 2201300003300 in words is "two trillion, two hundred one billion, three hundred million, three thousand, three hundred".