2110121121020 has 96 divisors (see below), whose sum is σ = 4848117200640. Its totient is φ = 765093288960.

The previous prime is 2110121120959. The next prime is 2110121121047. The reversal of 2110121121020 is 201211210112.

It is a super-2 number, since 2×2110121121020² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110121120986 and 2110121121004.

It is a congruent number.

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, 190800251 + ... + 190811309.

It is an arithmetic number, because the mean of its divisors is an integer number (50501220840).

Almost surely, 2^{2110121121020} is an apocalyptic number.

2110121121020 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 2110121121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424058600320).

2110121121020 is an abundant number, since it is smaller than the sum of its proper divisors (2737996079620).

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

2110121121020 is a wasteful number, since it uses less digits than its factorization.

2110121121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13515 (or 13513 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2110121121020 its reverse (201211210112), we get a palindrome (2311332331132).

The spelling of 2110121121020 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty".