221301332334340 has 24 divisors (see below), whose sum is σ = 469334112737112. Its totient is φ = 87644092012800.

The previous prime is 221301332334317. The next prime is 221301332334359. The reversal of 221301332334340 is 43433233103122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105098624104644 + 116202708229696 = 10251762^2 + 10779736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221301332334296 and 221301332334305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54777555489 + ... + 54777559528.

It is an arithmetic number, because the mean of its divisors is an integer number (19555588030713).

Almost surely, 2^{221301332334340} is an apocalyptic number.

221301332334340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221301332334340 is an abundant number, since it is smaller than the sum of its proper divisors (248032780402772).

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

221301332334340 is a wasteful number, since it uses less digits than its factorization.

221301332334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109555115127 (or 109555115125 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 221301332334340 its reverse (43433233103122), we get a palindrome (264734565437462).

The spelling of 221301332334340 in words is "two hundred twenty-one trillion, three hundred one billion, three hundred thirty-two million, three hundred thirty-four thousand, three hundred forty".