2011132100 has 36 divisors (see below), whose sum is σ = 4370269764. Its totient is φ = 803326080.

The previous prime is 2011132063. The next prime is 2011132103. The reversal of 2011132100 is 12311102.

It can be written as a sum of positive squares in 6 ways, for example, as 73547776 + 1937584324 = 8576^2 + 44018^2 .

It is not an unprimeable number, because it can be changed into a prime (2011132103) 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 11 ways as a sum of consecutive naturals, for example, 59582 + ... + 87018.

Almost surely, 2^2011132100 is an apocalyptic number.

2011132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011132100 is an abundant number, since it is smaller than the sum of its proper divisors (2359137664).

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

2011132100 is a wasteful number, since it uses less digits than its factorization.

2011132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28184 (or 28177 counting only the distinct ones).

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

The square root of 2011132100 is about 44845.6475034088. The cubic root of 2011132100 is about 1262.2543207205.

Adding to 2011132100 its reverse (12311102), we get a palindrome (2023443202).

The spelling of 2011132100 in words is "two billion, eleven million, one hundred thirty-two thousand, one hundred".