221311101113122 has 32 divisors (see below), whose sum is σ = 335605265714160. Its totient is φ = 109444992307200.

The previous prime is 221311101113087. The next prime is 221311101113129.

221311101113122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 134982826840521 + 86328274272601 = 11618211^2 + 9291301^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221311101113093 and 221311101113102.

It is not an unprimeable number, because it can be changed into a prime (221311101113129) 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, 5449783954 + ... + 5449824562.

Almost surely, 2^{221311101113122} is an apocalyptic number.

221311101113122 is a deficient number, since it is larger than the sum of its proper divisors (114294164601038).

221311101113122 is a wasteful number, since it uses less digits than its factorization.

221311101113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68358.

The product of its (nonzero) digits is 144, while the sum is 22.

It can be divided in two parts, 22131110 and 1113122, that added together give a palindrome (23244232).

The spelling of 221311101113122 in words is "two hundred twenty-one trillion, three hundred eleven billion, one hundred one million, one hundred thirteen thousand, one hundred twenty-two".