221320102122 has 72 divisors (see below), whose sum is σ = 557926192512. Its totient is φ = 63221936400.

The previous prime is 221320102093. The next prime is 221320102141. The reversal of 221320102122 is 221201023122.

221320102122 is a `hidden beast` number, since 221 + 320 + 1 + 0 + 2 + 122 = 666.

221320102122 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221320102095 and 221320102104.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5085997 + ... + 5129327.

It is an arithmetic number, because the mean of its divisors is an integer number (7748974896).

Almost surely, 2^221320102122 is an apocalyptic number.

221320102122 is an abundant number, since it is smaller than the sum of its proper divisors (336606090390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221320102122 is a wasteful number, since it uses less digits than its factorization.

221320102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49144 (or 49134 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221320102122 its reverse (221201023122), we get a palindrome (442521125244).

The spelling of 221320102122 in words is "two hundred twenty-one billion, three hundred twenty million, one hundred two thousand, one hundred twenty-two".