2011321100 has 72 divisors (see below), whose sum is σ = 4529033040. Its totient is φ = 774385920.

The previous prime is 2011321049. The next prime is 2011321121. The reversal of 2011321100 is 11231102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150427 + ... + 1152173.

Almost surely, 2^2011321100 is an apocalyptic number.

2011321100 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 2011321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264516520).

2011321100 is an abundant number, since it is smaller than the sum of its proper divisors (2517711940).

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

2011321100 is a wasteful number, since it uses less digits than its factorization.

2011321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2011321100 is about 44847.7546818121. The cubic root of 2011321100 is about 1262.2938604063.

Adding to 2011321100 its reverse (11231102), we get a palindrome (2022552202).

The spelling of 2011321100 in words is "two billion, eleven million, three hundred twenty-one thousand, one hundred".