21200012000201 has 2 divisors, whose sum is σ = 21200012000202. Its totient is φ = 21200012000200.

The previous prime is 21200012000177. The next prime is 21200012000231. The reversal of 21200012000201 is 10200021000212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15517485722176 + 5682526278025 = 3939224^2 + 2383805^2 .

It is a cyclic number.

It is not a de Polignac number, because 21200012000201 - 2¹⁴ = 21200011983817 is a prime.

It is a super-3 number, since 3×21200012000201³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21200012000231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600006000100 + 10600006000101.

It is an arithmetic number, because the mean of its divisors is an integer number (10600006000101).

Almost surely, 2^{21200012000201} is an apocalyptic number.

It is an amenable number.

21200012000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200012000201 is an equidigital number, since it uses as much as digits as its factorization.

21200012000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21200012000201 its reverse (10200021000212), we get a palindrome (31400033000413).

The spelling of 21200012000201 in words is "twenty-one trillion, two hundred billion, twelve million, two hundred one", and thus it is an aban number.