2101363200 has 720 divisors, whose sum is σ = 8459759880. Its totient is φ = 495452160.

The previous prime is 2101363193. The next prime is 2101363211. The reversal of 2101363200 is 23631012.

2101363200 is a `hidden beast` number, since 2 + 101 + 363 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 745945344 + 1355417856 = 27312^2 + 36816^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56793582 + ... + 56793618.

Almost surely, 2^2101363200 is an apocalyptic number.

2101363200 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 2101363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229879940).

2101363200 is an abundant number, since it is smaller than the sum of its proper divisors (6358396680).

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

2101363200 is a wasteful number, since it uses less digits than its factorization.

2101363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2101363200 is about 45840.6282679459. The cubic root of 2101363200 is about 1280.8561979908.

Adding to 2101363200 its reverse (23631012), we get a palindrome (2124994212).

The spelling of 2101363200 in words is "two billion, one hundred one million, three hundred sixty-three thousand, two hundred".