22121101221201 has 24 divisors (see below), whose sum is σ = 33025309320744. Its totient is φ = 14257428606720.

The previous prime is 22121101221103. The next prime is 22121101221209. The reversal of 22121101221201 is 10212210112122.

22121101221201 is a `hidden beast` number, since 22 + 121 + 101 + 221 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9477039110400 + 12644062110801 = 3078480^2 + 3555849^2 .

It is not a de Polignac number, because 22121101221201 - 2⁷ = 22121101221073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22121101221209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211507380 + ... + 211611941.

It is an arithmetic number, because the mean of its divisors is an integer number (1376054555031).

Almost surely, 2^{22121101221201} is an apocalyptic number.

It is an amenable number.

22121101221201 is a deficient number, since it is larger than the sum of its proper divisors (10904208099543).

22121101221201 is a wasteful number, since it uses less digits than its factorization.

22121101221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423119521 (or 423119518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22121101221201 its reverse (10212210112122), we get a palindrome (32333311333323).

The spelling of 22121101221201 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, two hundred one".