200201212000105 has 8 divisors (see below), whose sum is σ = 240327224304264. Its totient is φ = 160103789664000.

The previous prime is 200201212000081. The next prime is 200201212000121. The reversal of 200201212000105 is 501000212102002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 244191140649 + 199957020859456 = 494157^2 + 14140616^2 .

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

It is not a de Polignac number, because 200201212000105 - 2⁷ = 200201211999977 is a prime.

It is a super-2 number, since 2×200201212000105² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7147476606 + ... + 7147504615.

It is an arithmetic number, because the mean of its divisors is an integer number (30040903038033).

Almost surely, 2^{200201212000105} is an apocalyptic number.

It is an amenable number.

200201212000105 is a deficient number, since it is larger than the sum of its proper divisors (40126012304159).

200201212000105 is a wasteful number, since it uses less digits than its factorization.

200201212000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14294984027.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 200201212000105 its reverse (501000212102002), we get a palindrome (701201424102107).

The spelling of 200201212000105 in words is "two hundred trillion, two hundred one billion, two hundred twelve million, one hundred five", and thus it is an aban number.