2011039100 has 72 divisors (see below), whose sum is σ = 5033323680. Its totient is φ = 683147520.

The previous prime is 2011039091. The next prime is 2011039127. The reversal of 2011039100 is 19301102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63122 + ... + 89478.

Almost surely, 2^2011039100 is an apocalyptic number.

2011039100 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 2011039100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516661840).

2011039100 is an abundant number, since it is smaller than the sum of its proper divisors (3022284580).

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

2011039100 is a wasteful number, since it uses less digits than its factorization.

2011039100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26487 (or 26480 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 2011039100 is about 44844.6106014981. The cubic root of 2011039100 is about 1262.2348637753.

It can be divided in two parts, 201 and 1039100, that added together give a palindrome (1039301).

The spelling of 2011039100 in words is "two billion, eleven million, thirty-nine thousand, one hundred".