200010200221001 has 16 divisors (see below), whose sum is σ = 212763122735760. Its totient is φ = 187368332052480.

The previous prime is 200010200220979. The next prime is 200010200221061. The reversal of 200010200221001 is 100122002010002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 948576654601 + 199061623566400 = 973949^2 + 14108920^2 .

It is a cyclic number.

It is not a de Polignac number, because 200010200221001 - 2³⁸ = 199735322314057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200010200221061) 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 15 ways as a sum of consecutive naturals, for example, 15759356 + ... + 25463261.

It is an arithmetic number, because the mean of its divisors is an integer number (13297695170985).

Almost surely, 2^{200010200221001} is an apocalyptic number.

It is an amenable number.

200010200221001 is a deficient number, since it is larger than the sum of its proper divisors (12752922514759).

200010200221001 is a wasteful number, since it uses less digits than its factorization.

200010200221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41223964.

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

Adding to 200010200221001 its reverse (100122002010002), we get a palindrome (300132202231003).

The spelling of 200010200221001 in words is "two hundred trillion, ten billion, two hundred million, two hundred twenty-one thousand, one".