2101411200 has 192 divisors, whose sum is σ = 7910565120. Its totient is φ = 480307200.

The previous prime is 2101411183. The next prime is 2101411241. The reversal of 2101411200 is 21141012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51565 + ... + 82835.

It is an arithmetic number, because the mean of its divisors is an integer number (41200860).

Almost surely, 2^2101411200 is an apocalyptic number.

2101411200 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 2101411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955282560).

2101411200 is an abundant number, since it is smaller than the sum of its proper divisors (5809153920).

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

2101411200 is a wasteful number, since it uses less digits than its factorization.

2101411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31305 (or 31288 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2101411200 is about 45841.1518179899. The cubic root of 2101411200 is about 1280.8659504901.

Adding to 2101411200 its reverse (21141012), we get a palindrome (2122552212).

The spelling of 2101411200 in words is "two billion, one hundred one million, four hundred eleven thousand, two hundred".