201121221101221 has 8 divisors (see below), whose sum is σ = 201335150669688. Its totient is φ = 200907405240000.

The previous prime is 201121221101153. The next prime is 201121221101351. The reversal of 201121221101221 is 122101122121102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1722816378721 + 199398404722500 = 1312561^2 + 14120850^2 .

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 201121221101221 - 2¹⁷ = 201121220970149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121221107221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24887170 + ... + 31962691.

It is an arithmetic number, because the mean of its divisors is an integer number (25166893833711).

Almost surely, 2^{201121221101221} is an apocalyptic number.

It is an amenable number.

201121221101221 is a deficient number, since it is larger than the sum of its proper divisors (213929568467).

201121221101221 is a wasteful number, since it uses less digits than its factorization.

201121221101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56853623.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 201121221101221 its reverse (122101122121102), we get a palindrome (323222343222323).

The spelling of 201121221101221 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty-one".