2021122121120 has 96 divisors (see below), whose sum is σ = 5038210497600. Its totient is φ = 764070506496.

The previous prime is 2021122121077. The next prime is 2021122121143. The reversal of 2021122121120 is 211212211202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480392 + ... + 2067128.

It is an arithmetic number, because the mean of its divisors is an integer number (52481359350).

Almost surely, 2^{2021122121120} is an apocalyptic number.

2021122121120 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 2021122121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519105248800).

2021122121120 is an abundant number, since it is smaller than the sum of its proper divisors (3017088376480).

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

2021122121120 is a wasteful number, since it uses less digits than its factorization.

2021122121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587190 (or 1587182 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2021122121120 its reverse (211212211202), we get a palindrome (2232334332322).

It can be divided in two parts, 202112 and 2121120, that added together give a palindrome (2323232).

The spelling of 2021122121120 in words is "two trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".