221122120002201 has 48 divisors (see below), whose sum is σ = 373410797385600. Its totient is φ = 124722229800960.

The previous prime is 221122120002169. The next prime is 221122120002313. The reversal of 221122120002201 is 102200021221122.

It is a happy number.

221122120002201 is a `hidden beast` number, since 2 + 21 + 1 + 221 + 200 + 0 + 220 + 1 = 666.

It is not a de Polignac number, because 221122120002201 - 2⁵ = 221122120002169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221122120012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312228776 + ... + 1312397273.

It is an arithmetic number, because the mean of its divisors is an integer number (7779391612200).

Almost surely, 2^{221122120002201} is an apocalyptic number.

It is an amenable number.

221122120002201 is a deficient number, since it is larger than the sum of its proper divisors (152288677383399).

221122120002201 is a wasteful number, since it uses less digits than its factorization.

221122120002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624626126 (or 2624626123 counting only the distinct ones).

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

Adding to 221122120002201 its reverse (102200021221122), we get a palindrome (323322141223323).

The spelling of 221122120002201 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, two thousand, two hundred one".