2201110221100 has 144 divisors (see below), whose sum is σ = 5593664482560. Its totient is φ = 736210425600.

The previous prime is 2201110221091. The next prime is 2201110221119. The reversal of 2201110221100 is 11220111022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5206882 + ... + 5613718.

It is an arithmetic number, because the mean of its divisors is an integer number (38844892240).

Almost surely, 2^{2201110221100} is an apocalyptic number.

2201110221100 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 2201110221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796832241280).

2201110221100 is an abundant number, since it is smaller than the sum of its proper divisors (3392554261460).

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

2201110221100 is a wasteful number, since it uses less digits than its factorization.

2201110221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407048 (or 407041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2201110221100 its reverse (11220111022), we get a palindrome (2212330332122).

The spelling of 2201110221100 in words is "two trillion, two hundred one billion, one hundred ten million, two hundred twenty-one thousand, one hundred".