2221120222002 has 128 divisors (see below), whose sum is σ = 5732774611200. Its totient is φ = 629974195200.

The previous prime is 2221120221977. The next prime is 2221120222033. The reversal of 2221120222002 is 2002220211222.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 1220124 + ... + 2435352.

It is an arithmetic number, because the mean of its divisors is an integer number (44787301650).

Almost surely, 2^{2221120222002} is an apocalyptic number.

2221120222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221120222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866387305600).

2221120222002 is an abundant number, since it is smaller than the sum of its proper divisors (3511654389198).

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

2221120222002 is a wasteful number, since it uses less digits than its factorization.

2221120222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215449 (or 1215443 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2221120222002 its reverse (2002220211222), we get a palindrome (4223340433224).

The spelling of 2221120222002 in words is "two trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty-two thousand, two".