2011100 has 108 divisors (see below), whose sum is σ = 5718384. Its totient is φ = 599040.

The previous prime is 2011099. The next prime is 2011111. The reversal of 2011100 is 11102.

2011100 = 533² + 534² + ... + 539².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118292 + ... + 118308.

It is an arithmetic number, because the mean of its divisors is an integer number (52948).

2^2011100 is an apocalyptic number.

2011100 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 2011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859192).

2011100 is an abundant number, since it is smaller than the sum of its proper divisors (3707284).

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

2011100 is a wasteful number, since it uses less digits than its factorization.

2011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2011100 is about 1418.1325749026. The cubic root of 2011100 is about 126.2247605004.

Adding to 2011100 its reverse (11102), we get a palindrome (2022202).

The spelling of 2011100 in words is "two million, eleven thousand, one hundred".