221253666352122 has 32 divisors (see below), whose sum is σ = 447336827938944. Its totient is φ = 72947771064000.

The previous prime is 221253666352111. The next prime is 221253666352177.

221253666352122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221253666352122² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 182497654 + ... + 183706017.

It is an arithmetic number, because the mean of its divisors is an integer number (13979275873092).

Almost surely, 2^{221253666352122} is an apocalyptic number.

221253666352122 is an abundant number, since it is smaller than the sum of its proper divisors (226083161586822).

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

221253666352122 is a wasteful number, since it uses less digits than its factorization.

221253666352122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366204774.

The product of its digits is 3110400, while the sum is 48.

The spelling of 221253666352122 in words is "two hundred twenty-one trillion, two hundred fifty-three billion, six hundred sixty-six million, three hundred fifty-two thousand, one hundred twenty-two".