2100011100 has 144 divisors (see below), whose sum is σ = 6977470080. Its totient is φ = 482284800.

The previous prime is 2100011093. The next prime is 2100011117. The reversal of 2100011100 is 11100012.

2100011100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2100011100 is a modest number, since divided by 11100 gives 2100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45954 + ... + 79446.

Almost surely, 2^2100011100 is an apocalyptic number.

2100011100 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 2100011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488735040).

2100011100 is an abundant number, since it is smaller than the sum of its proper divisors (4877458980).

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

2100011100 is a wasteful number, since it uses less digits than its factorization.

2100011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33540 (or 33533 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2100011100 is about 45825.8780603274. The cubic root of 2100011100 is about 1280.5814212420.

Adding to 2100011100 its reverse (11100012), we get a palindrome (2111111112).

The spelling of 2100011100 in words is "two billion, one hundred million, eleven thousand, one hundred".