2102002110 has 256 divisors, whose sum is σ = 6510873600. Its totient is φ = 478130688.

The previous prime is 2102002109. The next prime is 2102002139. The reversal of 2102002110 is 112002012.

2102002110 is digitally balanced in base 4, 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 = 2102002092 and 2102002101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2867304 + ... + 2868036.

It is an arithmetic number, because the mean of its divisors is an integer number (25433100).

Almost surely, 2^2102002110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255436800).

2102002110 is an abundant number, since it is smaller than the sum of its proper divisors (4408871490).

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

2102002110 is a wasteful number, since it uses less digits than its factorization.

2102002110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2102002110 is about 45847.5965564172. The cubic root of 2102002110 is about 1280.9859976860.

Adding to 2102002110 its reverse (112002012), we get a palindrome (2214004122).

The spelling of 2102002110 in words is "two billion, one hundred two million, two thousand, one hundred ten".