2122132333002 has 256 divisors, whose sum is σ = 5275493203968. Its totient is φ = 561076116480.

The previous prime is 2122132333001. The next prime is 2122132333033. The reversal of 2122132333002 is 2003332312212.

It is a super-2 number, since 2×2122132333002² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122132333001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124918353 + ... + 124935339.

It is an arithmetic number, because the mean of its divisors is an integer number (20607395328).

Almost surely, 2^{2122132333002} is an apocalyptic number.

2122132333002 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 2122132333002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637746601984).

2122132333002 is an abundant number, since it is smaller than the sum of its proper divisors (3153360870966).

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

2122132333002 is a wasteful number, since it uses less digits than its factorization.

2122132333002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17193.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2122132333002 its reverse (2003332312212), we get a palindrome (4125464645214).

The spelling of 2122132333002 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-two million, three hundred thirty-three thousand, two".