2110252100 has 216 divisors, whose sum is σ = 5416632480. Its totient is φ = 710899200.

The previous prime is 2110252091. The next prime is 2110252103. The reversal of 2110252100 is 12520112.

It is not an unprimeable number, because it can be changed into a prime (2110252103) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15403232 + ... + 15403368.

Almost surely, 2^2110252100 is an apocalyptic number.

2110252100 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 2110252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708316240).

2110252100 is an abundant number, since it is smaller than the sum of its proper divisors (3306380380).

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

2110252100 is a wasteful number, since it uses less digits than its factorization.

2110252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 2110252100 is about 45937.4803401318. The cubic root of 2110252100 is about 1282.6596918085.

Adding to 2110252100 its reverse (12520112), we get a palindrome (2122772212).

The spelling of 2110252100 in words is "two billion, one hundred ten million, two hundred fifty-two thousand, one hundred".