2212022221002 has 256 divisors, whose sum is σ = 5896765440000. Its totient is φ = 606736785600.

The previous prime is 2212022221001. The next prime is 2212022221067. The reversal of 2212022221002 is 2001222202122.

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

It is not an unprimeable number, because it can be changed into a prime (2212022221001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 257237499 + ... + 257246097.

It is an arithmetic number, because the mean of its divisors is an integer number (23034240000).

Almost surely, 2^{2212022221002} is an apocalyptic number.

2212022221002 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 2212022221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948382720000).

2212022221002 is an abundant number, since it is smaller than the sum of its proper divisors (3684743218998).

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

2212022221002 is a wasteful number, since it uses less digits than its factorization.

2212022221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9648 counting only the distinct ones).

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

Adding to 2212022221002 its reverse (2001222202122), we get a palindrome (4213244423124).

The spelling of 2212022221002 in words is "two trillion, two hundred twelve billion, twenty-two million, two hundred twenty-one thousand, two".