2210010100110 has 96 divisors (see below), whose sum is σ = 5960553711840. Its totient is φ = 589166742528.

The previous prime is 2210010100097. The next prime is 2210010100139. The reversal of 2210010100110 is 110010100122.

It is a happy number.

2210010100110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2210010100092 and 2210010100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8446614 + ... + 8704326.

It is an arithmetic number, because the mean of its divisors is an integer number (62089101165).

Almost surely, 2^{2210010100110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210010100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980276855920).

2210010100110 is an abundant number, since it is smaller than the sum of its proper divisors (3750543611730).

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

2210010100110 is a wasteful number, since it uses less digits than its factorization.

2210010100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261264 (or 261252 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2210010100110 its reverse (110010100122), we get a palindrome (2320020200232).

The spelling of 2210010100110 in words is "two trillion, two hundred ten billion, ten million, one hundred thousand, one hundred ten".