2110121210112 has 144 divisors (see below), whose sum is σ = 5777240253120. Its totient is φ = 683241578496.

The previous prime is 2110121210081. The next prime is 2110121210203.

It is a happy number.

2110121210112 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×2110121210112⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2110121210091 and 2110121210100.

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, 17358439 + ... + 17479577.

It is an arithmetic number, because the mean of its divisors is an integer number (40119723980).

Almost surely, 2^{2110121210112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110121210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888620126560).

2110121210112 is an abundant number, since it is smaller than the sum of its proper divisors (3667119043008).

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

2110121210112 is a wasteful number, since it uses less digits than its factorization.

2110121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121808 (or 121794 counting only the distinct ones).

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

The spelling of 2110121210112 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".