2221110222100 has 288 divisors, whose sum is σ = 6168005222400. Its totient is φ = 674137728000.

The previous prime is 2221110222077. The next prime is 2221110222127. The reversal of 2221110222100 is 12220111222.

It is a happy number.

It is a super-2 number, since 2×2221110222100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 72002680 + ... + 72033520.

It is an arithmetic number, because the mean of its divisors is an integer number (21416684800).

Almost surely, 2^{2221110222100} is an apocalyptic number.

2221110222100 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 2221110222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084002611200).

2221110222100 is an abundant number, since it is smaller than the sum of its proper divisors (3946895000300).

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

2221110222100 is a wasteful number, since it uses less digits than its factorization.

2221110222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31119 (or 31112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2221110222100 its reverse (12220111222), we get a palindrome (2233330333322).

The spelling of 2221110222100 in words is "two trillion, two hundred twenty-one billion, one hundred ten million, two hundred twenty-two thousand, one hundred".