21001111000200 has 576 divisors, whose sum is σ = 77953354661520. Its totient is φ = 5044322304000.

The previous prime is 21001111000147. The next prime is 21001111000213. The reversal of 21001111000200 is 200011110012.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 608896181124 + 20392214819076 = 780318^2 + 4515774^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68912160 + ... + 69216240.

Almost surely, 2^{21001111000200} is an apocalyptic number.

21001111000200 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 21001111000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38976677330760).

21001111000200 is an abundant number, since it is smaller than the sum of its proper divisors (56952243661320).

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

21001111000200 is a wasteful number, since it uses less digits than its factorization.

21001111000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304218 (or 304206 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21001111000200 its reverse (200011110012), we get a palindrome (21201122110212).

The spelling of 21001111000200 in words is "twenty-one trillion, one billion, one hundred eleven million, two hundred", and thus it is an aban number.