2111123300 has 108 divisors (see below), whose sum is σ = 5423212788. Its totient is φ = 708576000.

The previous prime is 2111123297. The next prime is 2111123303. The reversal of 2111123300 is 33211112.

It is an interprime number because it is at equal distance from previous prime (2111123297) and next prime (2111123303).

It can be written as a sum of positive squares in 6 ways, for example, as 9084196 + 2102039104 = 3014^2 + 45848^2 .

It is not an unprimeable number, because it can be changed into a prime (2111123303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150590 + ... + 164010.

Almost surely, 2^2111123300 is an apocalyptic number.

2111123300 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 2111123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711606394).

2111123300 is an abundant number, since it is smaller than the sum of its proper divisors (3312089488).

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

2111123300 is a wasteful number, since it uses less digits than its factorization.

2111123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13470 (or 13452 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2111123300 is about 45946.9618146837. The cubic root of 2111123300 is about 1282.8361793131.

Adding to 2111123300 its reverse (33211112), we get a palindrome (2144334412).

It can be divided in two parts, 211112 and 3300, that added together give a palindrome (214412).

The spelling of 2111123300 in words is "two billion, one hundred eleven million, one hundred twenty-three thousand, three hundred".