2110012102110 has 128 divisors (see below), whose sum is σ = 5601309926400. Its totient is φ = 504441907200.

The previous prime is 2110012102109. The next prime is 2110012102117. The reversal of 2110012102110 is 112012100112.

It is a super-2 number, since 2×2110012102110² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110012102117) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7278540 + ... + 7562880.

It is an arithmetic number, because the mean of its divisors is an integer number (43760233800).

Almost surely, 2^{2110012102110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110012102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800654963200).

2110012102110 is an abundant number, since it is smaller than the sum of its proper divisors (3491297824290).

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

2110012102110 is a wasteful number, since it uses less digits than its factorization.

2110012102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284674.

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

Adding to 2110012102110 its reverse (112012100112), we get a palindrome (2222024202222).

It can be divided in two parts, 2110012 and 102110, that added together give a palindrome (2212122).

The spelling of 2110012102110 in words is "two trillion, one hundred ten billion, twelve million, one hundred two thousand, one hundred ten".