2100110122110 has 1024 divisors, whose sum is σ = 7554406809600. Its totient is φ = 359213875200.

The previous prime is 2100110122087. The next prime is 2100110122171. The reversal of 2100110122110 is 112210110012.

It is a super-2 number, since 2×2100110122110² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 654442186 + ... + 654445394.

It is an arithmetic number, because the mean of its divisors is an integer number (7377350400).

Almost surely, 2^{2100110122110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100110122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777203404800).

2100110122110 is an abundant number, since it is smaller than the sum of its proper divisors (5454296687490).

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

2100110122110 is a wasteful number, since it uses less digits than its factorization.

2100110122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337.

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

Adding to 2100110122110 its reverse (112210110012), we get a palindrome (2212320232122).

The spelling of 2100110122110 in words is "two trillion, one hundred billion, one hundred ten million, one hundred twenty-two thousand, one hundred ten".