221122122201 has 24 divisors (see below), whose sum is σ = 328607802120. Its totient is φ = 143178368256.

The previous prime is 221122122187. The next prime is 221122122209. The reversal of 221122122201 is 102221221122.

It is a happy number.

221122122201 is a `hidden beast` number, since 221 + 1 + 221 + 2 + 220 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12309680601 + 208812441600 = 110949^2 + 456960^2 .

It is not a de Polignac number, because 221122122201 - 2¹⁴ = 221122105817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221122122209) 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, 394030 + ... + 772983.

It is an arithmetic number, because the mean of its divisors is an integer number (13691991755).

Almost surely, 2^221122122201 is an apocalyptic number.

It is an amenable number.

221122122201 is a deficient number, since it is larger than the sum of its proper divisors (107485679919).

221122122201 is a wasteful number, since it uses less digits than its factorization.

221122122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167625 (or 1167622 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221122122201 its reverse (102221221122), we get a palindrome (323343343323).

The spelling of 221122122201 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".