214121331322241 has 96 divisors (see below), whose sum is σ = 265645001203200. Its totient is φ = 171712014566400.

The previous prime is 214121331322187. The next prime is 214121331322243. The reversal of 214121331322241 is 142223133121412.

It is not a de Polignac number, because 214121331322241 - 2²² = 214121327127937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214121331322198 and 214121331322207.

It is not an unprimeable number, because it can be changed into a prime (214121331322243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34981426661 + ... + 34981432781.

It is an arithmetic number, because the mean of its divisors is an integer number (2767135429200).

Almost surely, 2^{214121331322241} is an apocalyptic number.

It is an amenable number.

214121331322241 is a deficient number, since it is larger than the sum of its proper divisors (51523669880959).

214121331322241 is a wasteful number, since it uses less digits than its factorization.

214121331322241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8968 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

Adding to 214121331322241 its reverse (142223133121412), we get a palindrome (356344464443653).

The spelling of 214121331322241 in words is "two hundred fourteen trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred twenty-two thousand, two hundred forty-one".