2001322211322 has 128 divisors (see below), whose sum is σ = 4666330441728. Its totient is φ = 560414764800.

The previous prime is 2001322211311. The next prime is 2001322211333. The reversal of 2001322211322 is 2231122231002.

It is an interprime number because it is at equal distance from previous prime (2001322211311) and next prime (2001322211333).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653811672 + ... + 653814732.

It is an arithmetic number, because the mean of its divisors is an integer number (36455706576).

Almost surely, 2^{2001322211322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001322211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333165220864).

2001322211322 is an abundant number, since it is smaller than the sum of its proper divisors (2665008230406).

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

2001322211322 is a wasteful number, since it uses less digits than its factorization.

2001322211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2001322211322 its reverse (2231122231002), we get a palindrome (4232444442324).

The spelling of 2001322211322 in words is "two trillion, one billion, three hundred twenty-two million, two hundred eleven thousand, three hundred twenty-two".