21120200010 has 240 divisors, whose sum is σ = 71145093096. Its totient is φ = 4456021248.

The previous prime is 21120199999. The next prime is 21120200033. The reversal of 21120200010 is 1000202112.

It can be written as a sum of positive squares in 4 ways, for example, as 10844931321 + 10275268689 = 104139^2 + 101367^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21120199965 and 21120200001.

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 119 ways as a sum of consecutive naturals, for example, 495504 + ... + 536436.

Almost surely, 2^21120200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35572546548).

21120200010 is an abundant number, since it is smaller than the sum of its proper divisors (50024893086).

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

21120200010 is a wasteful number, since it uses less digits than its factorization.

21120200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40979 (or 40963 counting only the distinct ones).

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

Adding to 21120200010 its reverse (1000202112), we get a palindrome (22120402122).

The spelling of 21120200010 in words is "twenty-one billion, one hundred twenty million, two hundred thousand, ten".