2011011100 has 144 divisors (see below), whose sum is σ = 5180668416. Its totient is φ = 663264000.

The previous prime is 2011011077. The next prime is 2011011109. The reversal of 2011011100 is 11101102.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011011109) 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, 2136630 + ... + 2137570.

It is an arithmetic number, because the mean of its divisors is an integer number (35976864).

Almost surely, 2^2011011100 is an apocalyptic number.

2011011100 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 2011011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590334208).

2011011100 is an abundant number, since it is smaller than the sum of its proper divisors (3169657316).

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

2011011100 is a wasteful number, since it uses less digits than its factorization.

2011011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1069 counting only the distinct ones).

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

The square root of 2011011100 is about 44844.2984112808. The cubic root of 2011011100 is about 1262.2290056528.

Adding to 2011011100 its reverse (11101102), we get a palindrome (2022112202).

The spelling of 2011011100 in words is "two billion, eleven million, eleven thousand, one hundred".