200121000121001 has 8 divisors (see below), whose sum is σ = 200333333693640. Its totient is φ = 199908778810752.

The previous prime is 200121000120947. The next prime is 200121000121033. The reversal of 200121000121001 is 100121000121002.

It can be written as a sum of positive squares in 4 ways, for example, as 43656426504601 + 156464573616400 = 6607301^2 + 12508580^2 .

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 200121000121001 - 2¹⁰ = 200121000119977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200121000141001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24498230 + ... + 31629183.

It is an arithmetic number, because the mean of its divisors is an integer number (25041666711705).

Almost surely, 2^{200121000121001} is an apocalyptic number.

It is an amenable number.

200121000121001 is a deficient number, since it is larger than the sum of its proper divisors (212333572639).

200121000121001 is a wasteful number, since it uses less digits than its factorization.

200121000121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56131195.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200121000121001 its reverse (100121000121002), we get a palindrome (300242000242003).

Subtracting from 200121000121001 its reverse (100121000121002), we obtain a palindrome (99999999999999).

The spelling of 200121000121001 in words is "two hundred trillion, one hundred twenty-one billion, one hundred twenty-one thousand, one".