2110121112120 has 64 divisors (see below), whose sum is σ = 7234700958720. Its totient is φ = 482313396864.

The previous prime is 2110121112097. The next prime is 2110121112137. The reversal of 2110121112120 is 212111210112.

It is a happy number.

It is a super-2 number, since 2×2110121112120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2110121112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256023632 + ... + 1256025311.

It is an arithmetic number, because the mean of its divisors is an integer number (113042202480).

Almost surely, 2^{2110121112120} is an apocalyptic number.

2110121112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110121112120 is an abundant number, since it is smaller than the sum of its proper divisors (5124579846600).

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

2110121112120 is a wasteful number, since it uses less digits than its factorization.

2110121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512048964 (or 2512048960 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2110121112120 its reverse (212111210112), we get a palindrome (2322232322232).

The spelling of 2110121112120 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".