21200200200001 has 8 divisors (see below), whose sum is σ = 21347805914280. Its totient is φ = 21052753632768.

The previous prime is 21200200199987. The next prime is 21200200200007. The reversal of 21200200200001 is 10000200200212.

It can be written as a sum of positive squares in 4 ways, for example, as 12755247959601 + 8444952240400 = 3571449^2 + 2906020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21200200200001 - 2¹⁹ = 21200199675713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21200200200007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39519406 + ... + 40052263.

It is an arithmetic number, because the mean of its divisors is an integer number (2668475739285).

Almost surely, 2^{21200200200001} is an apocalyptic number.

It is an amenable number.

21200200200001 is a deficient number, since it is larger than the sum of its proper divisors (147605714279).

21200200200001 is a wasteful number, since it uses less digits than its factorization.

21200200200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79573523.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21200200200001 its reverse (10000200200212), we get a palindrome (31200400400213).

The spelling of 21200200200001 in words is "twenty-one trillion, two hundred billion, two hundred million, two hundred thousand, one".