2110011100 has 144 divisors (see below), whose sum is σ = 5001242400. Its totient is φ = 769720320.

The previous prime is 2110011089. The next prime is 2110011107. The reversal of 2110011100 is 11100112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110011107) 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, 10932604 + ... + 10932796.

It is an arithmetic number, because the mean of its divisors is an integer number (34730850).

Almost surely, 2^2110011100 is an apocalyptic number.

2110011100 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 2110011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500621200).

2110011100 is an abundant number, since it is smaller than the sum of its proper divisors (2891231300).

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

2110011100 is a wasteful number, since it uses less digits than its factorization.

2110011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 2110011100 is about 45934.8571348600. The cubic root of 2110011100 is about 1282.6108615046.

Adding to 2110011100 its reverse (11100112), we get a palindrome (2121111212).

The spelling of 2110011100 in words is "two billion, one hundred ten million, eleven thousand, one hundred".