2001211100 has 288 divisors, whose sum is σ = 5669637120. Its totient is φ = 596643840.

The previous prime is 2001211097. The next prime is 2001211109. The reversal of 2001211100 is 11121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001211109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11983217 + ... + 11983383.

It is an arithmetic number, because the mean of its divisors is an integer number (19686240).

Almost surely, 2^2001211100 is an apocalyptic number.

2001211100 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 2001211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834818560).

2001211100 is an abundant number, since it is smaller than the sum of its proper divisors (3668426020).

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

2001211100 is a wasteful number, since it uses less digits than its factorization.

2001211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2001211100 is about 44734.8980103901. The cubic root of 2001211100 is about 1260.1753136426.

Adding to 2001211100 its reverse (11121002), we get a palindrome (2012332102).

The spelling of 2001211100 in words is "two billion, one million, two hundred eleven thousand, one hundred".