21120100200 has 288 divisors, whose sum is σ = 73172548800. Its totient is φ = 5456640000.

The previous prime is 21120100189. The next prime is 21120100217. The reversal of 21120100200 is 200102112.

It is a super-3 number, since 3×21120100200³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 7538800 + ... + 7541600.

It is an arithmetic number, because the mean of its divisors is an integer number (254071350).

Almost surely, 2^21120100200 is an apocalyptic number.

21120100200 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 21120100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36586274400).

21120100200 is an abundant number, since it is smaller than the sum of its proper divisors (52052448600).

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

21120100200 is a wasteful number, since it uses less digits than its factorization.

21120100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21120100200 its reverse (200102112), we get a palindrome (21320202312).

The spelling of 21120100200 in words is "twenty-one billion, one hundred twenty million, one hundred thousand, two hundred".