2110120210110 has 192 divisors, whose sum is σ = 5639287288320. Its totient is φ = 501143984640.

The previous prime is 2110120210109. The next prime is 2110120210129. The reversal of 2110120210110 is 110120210112.

It is a super-2 number, since 2×2110120210110² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 851884192 + ... + 851886668.

It is an arithmetic number, because the mean of its divisors is an integer number (29371287960).

Almost surely, 2^{2110120210110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110120210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819643644160).

2110120210110 is an abundant number, since it is smaller than the sum of its proper divisors (3529167078210).

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

2110120210110 is a wasteful number, since it uses less digits than its factorization.

2110120210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2110120210110 its reverse (110120210112), we get a palindrome (2220240420222).

The spelling of 2110120210110 in words is "two trillion, one hundred ten billion, one hundred twenty million, two hundred ten thousand, one hundred ten".