221110222110001 has 24 divisors (see below), whose sum is σ = 259782775338600. Its totient is φ = 187627587840000.

The previous prime is 221110222109999. The next prime is 221110222110053. The reversal of 221110222110001 is 100011222011122.

It can be written as a sum of positive squares in 4 ways, for example, as 73123021440000 + 147987200670001 = 8551200^2 + 12164999^2 .

It is not a de Polignac number, because 221110222110001 - 2¹ = 221110222109999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221110202110001) 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, 46743825 + ... + 51256273.

It is an arithmetic number, because the mean of its divisors is an integer number (10824282305775).

Almost surely, 2^{221110222110001} is an apocalyptic number.

It is an amenable number.

221110222110001 is a deficient number, since it is larger than the sum of its proper divisors (38672553228599).

221110222110001 is a wasteful number, since it uses less digits than its factorization.

221110222110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522465 (or 4522458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221110222110001 its reverse (100011222011122), we get a palindrome (321121444121123).

The spelling of 221110222110001 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred twenty-two million, one hundred ten thousand, one".