2011032100 has 108 divisors (see below), whose sum is σ = 5482204672. Its totient is φ = 626788800.

The previous prime is 2011032097. The next prime is 2011032131. The reversal of 2011032100 is 12301102.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 35 ways as a sum of consecutive naturals, for example, 72829 + ... + 96571.

Almost surely, 2^2011032100 is an apocalyptic number.

2011032100 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 2011032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741102336).

2011032100 is an abundant number, since it is smaller than the sum of its proper divisors (3471172572).

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

2011032100 is a wasteful number, since it uses less digits than its factorization.

2011032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23786 (or 23768 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2011032100 is about 44844.5325541476. The cubic root of 2011032100 is about 1262.2333992497.

Adding to 2011032100 its reverse (12301102), we get a palindrome (2023333202).

It can be divided in two parts, 201103 and 2100, that added together give a triangular number (203203 = T₆₃₇).

The spelling of 2011032100 in words is "two billion, eleven million, thirty-two thousand, one hundred".