2211221311002 has 96 divisors (see below), whose sum is σ = 5245095997440. Its totient is φ = 667688693760.

The previous prime is 2211221310973. The next prime is 2211221311021. The reversal of 2211221311002 is 2001131221122.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104061543 + ... + 104082789.

It is an arithmetic number, because the mean of its divisors is an integer number (54636416640).

Almost surely, 2^{2211221311002} is an apocalyptic number.

2211221311002 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 2211221311002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622547998720).

2211221311002 is an abundant number, since it is smaller than the sum of its proper divisors (3033874686438).

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

2211221311002 is a wasteful number, since it uses less digits than its factorization.

2211221311002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23108 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2211221311002 its reverse (2001131221122), we get a palindrome (4212352532124).

The spelling of 2211221311002 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, three hundred eleven thousand, two".