2121112211020 has 96 divisors (see below), whose sum is σ = 5058856918080. Its totient is φ = 739972746240.

The previous prime is 2121112210999. The next prime is 2121112211047. The reversal of 2121112211020 is 201122111212.

It is a junction number, because it is equal to n+sod(n) for n = 2121112210985 and 2121112211003.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57139 + ... + 2060458.

It is an arithmetic number, because the mean of its divisors is an integer number (52696426230).

Almost surely, 2^{2121112211020} is an apocalyptic number.

2121112211020 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 2121112211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529428459040).

2121112211020 is an abundant number, since it is smaller than the sum of its proper divisors (2937744707060).

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

2121112211020 is a wasteful number, since it uses less digits than its factorization.

2121112211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117803 (or 2117801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121112211020 its reverse (201122111212), we get a palindrome (2322234322232).

The spelling of 2121112211020 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, twenty".