2122022010020 has 96 divisors (see below), whose sum is σ = 4883312448000. Its totient is φ = 768161945600.

The previous prime is 2122022010019. The next prime is 2122022010047. The reversal of 2122022010020 is 200102202212.

It is a super-2 number, since 2×2122022010020² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122022009977 and 2122022010004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244440080 + ... + 244448760.

It is an arithmetic number, because the mean of its divisors is an integer number (50867838000).

Almost surely, 2^{2122022010020} is an apocalyptic number.

2122022010020 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 2122022010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441656224000).

2122022010020 is an abundant number, since it is smaller than the sum of its proper divisors (2761290437980).

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

2122022010020 is a wasteful number, since it uses less digits than its factorization.

2122022010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13589 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2122022010020 its reverse (200102202212), we get a palindrome (2322124212232).

It can be divided in two parts, 212202 and 2010020, that added together give a palindrome (2222222).

The spelling of 2122022010020 in words is "two trillion, one hundred twenty-two billion, twenty-two million, ten thousand, twenty".