2122101222220 has 192 divisors, whose sum is σ = 5422872913920. Its totient is φ = 680948748288.

The previous prime is 2122101222217. The next prime is 2122101222229. The reversal of 2122101222220 is 222221012212.

It is not an unprimeable number, because it can be changed into a prime (2122101222229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387454122 + ... + 387459598.

It is an arithmetic number, because the mean of its divisors is an integer number (28244129760).

Almost surely, 2^{2122101222220} is an apocalyptic number.

2122101222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122101222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711436456960).

2122101222220 is an abundant number, since it is smaller than the sum of its proper divisors (3300771691700).

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

2122101222220 is a wasteful number, since it uses less digits than its factorization.

2122101222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2122101222220 its reverse (222221012212), we get a palindrome (2344322234432).

The spelling of 2122101222220 in words is "two trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, two hundred twenty".