221102122113 has 6 divisors (see below), whose sum is σ = 319369731954. Its totient is φ = 147401414736.

The previous prime is 221102122069. The next prime is 221102122169. The reversal of 221102122113 is 311221201122.

221102122113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 185431000689 + 35671121424 = 430617^2 + 188868^2 .

It is not a de Polignac number, because 221102122113 - 2¹⁸ = 221101859969 is a prime.

It is a super-2 number, since 2×221102122113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221102122193) 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 5 ways as a sum of consecutive naturals, for example, 12283451220 + ... + 12283451237.

It is an arithmetic number, because the mean of its divisors is an integer number (53228288659).

Almost surely, 2^221102122113 is an apocalyptic number.

It is an amenable number.

221102122113 is a deficient number, since it is larger than the sum of its proper divisors (98267609841).

221102122113 is a wasteful number, since it uses less digits than its factorization.

221102122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24566902463 (or 24566902460 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221102122113 its reverse (311221201122), we get a palindrome (532323323235).

The spelling of 221102122113 in words is "two hundred twenty-one billion, one hundred two million, one hundred twenty-two thousand, one hundred thirteen".