2102100210 has 96 divisors (see below), whose sum is σ = 6339595392. Its totient is φ = 473299200.

The previous prime is 2102100191. The next prime is 2102100229. The reversal of 2102100210 is 120012012.

It is an interprime number because it is at equal distance from previous prime (2102100191) and next prime (2102100229).

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2102100192 and 2102100201.

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, 17310 + ... + 67110.

It is an arithmetic number, because the mean of its divisors is an integer number (66037452).

Almost surely, 2^2102100210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169797696).

2102100210 is an abundant number, since it is smaller than the sum of its proper divisors (4237495182).

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

2102100210 is a wasteful number, since it uses less digits than its factorization.

2102100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49888 (or 49885 counting only the distinct ones).

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

The square root of 2102100210 is about 45848.6663928189. Note that the first 3 decimals coincide. The cubic root of 2102100210 is about 1281.0059251591.

Adding to 2102100210 its reverse (120012012), we get a palindrome (2222112222).

The spelling of 2102100210 in words is "two billion, one hundred two million, one hundred thousand, two hundred ten".