2011112100 has 108 divisors (see below), whose sum is σ = 6317290980. Its totient is φ = 535142400.

The previous prime is 2011112099. The next prime is 2011112137. The reversal of 2011112100 is 12111102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 665856 + 2010446244 = 816^2 + 44838^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 466756 + ... + 471044.

It is an arithmetic number, because the mean of its divisors is an integer number (58493435).

Almost surely, 2^2011112100 is an apocalyptic number.

2011112100 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 2011112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158645490).

2011112100 is an abundant number, since it is smaller than the sum of its proper divisors (4306178880).

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

2011112100 is a wasteful number, since it uses less digits than its factorization.

2011112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2011112100 is about 44845.4245157742. The cubic root of 2011112100 is about 1262.2501364818.

Adding to 2011112100 its reverse (12111102), we get a palindrome (2023223202).

The spelling of 2011112100 in words is "two billion, eleven million, one hundred twelve thousand, one hundred".