221112201122221 has 16 divisors (see below), whose sum is σ = 235419250732848. Its totient is φ = 206949714048000.

The previous prime is 221112201122203. The next prime is 221112201122231. The reversal of 221112201122221 is 122221102211122.

It can be written as a sum of positive squares in 8 ways, for example, as 110433595370121 + 110678605752100 = 10508739^2 + 10520390^2 .

It is a cyclic number.

It is not a de Polignac number, because 221112201122221 - 2²³ = 221112192733613 is a prime.

It is a super-2 number, since 2×221112201122221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221112201122192 and 221112201122201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112201122201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104496691 + ... + 106591663.

It is an arithmetic number, because the mean of its divisors is an integer number (14713703170803).

Almost surely, 2^{221112201122221} is an apocalyptic number.

It is an amenable number.

221112201122221 is a deficient number, since it is larger than the sum of its proper divisors (14307049610627).

221112201122221 is a wasteful number, since it uses less digits than its factorization.

221112201122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129472.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 221112201122221 its reverse (122221102211122), we get a palindrome (343333303333343).

The spelling of 221112201122221 in words is "two hundred twenty-one trillion, one hundred twelve billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty-one".