2110102100 has 72 divisors (see below), whose sum is σ = 4644687096. Its totient is φ = 832000000.

The previous prime is 2110102097. The next prime is 2110102121. The reversal of 2110102100 is 12010112.

It can be written as a sum of positive squares in 12 ways, for example, as 169744 + 2109932356 = 412^2 + 45934^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4049840 + ... + 4050360.

It is an arithmetic number, because the mean of its divisors is an integer number (64509543).

Almost surely, 2^2110102100 is an apocalyptic number.

2110102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322343548).

2110102100 is an abundant number, since it is smaller than the sum of its proper divisors (2534584996).

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

2110102100 is a wasteful number, since it uses less digits than its factorization.

2110102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2110102100 is about 45935.8476573580. The cubic root of 2110102100 is about 1282.6292999400.

Adding to 2110102100 its reverse (12010112), we get a palindrome (2122112212).

The spelling of 2110102100 in words is "two billion, one hundred ten million, one hundred two thousand, one hundred".