2111330100 has 144 divisors (see below), whose sum is σ = 6819563520. Its totient is φ = 499900800.

The previous prime is 2111330093. The next prime is 2111330107. The reversal of 2111330100 is 10331112.

It is an interprime number because it is at equal distance from previous prime (2111330093) and next prime (2111330107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111330107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134461 + ... + 149339.

It is an arithmetic number, because the mean of its divisors is an integer number (47358080).

Almost surely, 2^2111330100 is an apocalyptic number.

2111330100 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 2111330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409781760).

2111330100 is an abundant number, since it is smaller than the sum of its proper divisors (4708233420).

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

2111330100 is a wasteful number, since it uses less digits than its factorization.

2111330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14950 (or 14943 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2111330100 is about 45949.2121804063. The cubic root of 2111330100 is about 1282.8780656807.

Adding to 2111330100 its reverse (10331112), we get a palindrome (2121661212).

The spelling of 2111330100 in words is "two billion, one hundred eleven million, three hundred thirty thousand, one hundred".