221313121011101 has 12 divisors (see below), whose sum is σ = 257446283278140. Its totient is φ = 189696660370560.

The previous prime is 221313121011083. The next prime is 221313121011127. The reversal of 221313121011101 is 101110121313122.

It can be written as a sum of positive squares in 2 ways, for example, as 77386311708601 + 143926809302500 = 8796949^2 + 11996950^2 .

It is a de Polignac number, because none of the positive numbers 2^k-221313121011101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221313121011181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31058261 + ... + 37513221.

It is an arithmetic number, because the mean of its divisors is an integer number (21453856939845).

Almost surely, 2^{221313121011101} is an apocalyptic number.

It is an amenable number.

221313121011101 is a deficient number, since it is larger than the sum of its proper divisors (36133162267039).

221313121011101 is an equidigital number, since it uses as much as digits as its factorization.

221313121011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154684 (or 7154677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 221313121011101 its reverse (101110121313122), we get a palindrome (322423242324223).

The spelling of 221313121011101 in words is "two hundred twenty-one trillion, three hundred thirteen billion, one hundred twenty-one million, eleven thousand, one hundred one".