201122001000221 has 16 divisors (see below), whose sum is σ = 234746553586176. Its totient is φ = 168720730878336.

The previous prime is 201122001000079. The next prime is 201122001000253. The reversal of 201122001000221 is 122000100221102.

It is not a de Polignac number, because 201122001000221 - 2³⁴ = 201104821131037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201122001000196 and 201122001000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122001008221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30674945 + ... + 36649641.

It is an arithmetic number, because the mean of its divisors is an integer number (14671659599136).

Almost surely, 2^{201122001000221} is an apocalyptic number.

It is an amenable number.

201122001000221 is a deficient number, since it is larger than the sum of its proper divisors (33624552585955).

201122001000221 is a wasteful number, since it uses less digits than its factorization.

201122001000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6077068.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201122001000221 its reverse (122000100221102), we get a palindrome (323122101221323).

The spelling of 201122001000221 in words is "two hundred one trillion, one hundred twenty-two billion, one million, two hundred twenty-one", and thus it is an aban number.