121121322213321 has 12 divisors (see below), whose sum is σ = 176230050326772. Its totient is φ = 80158149979776.

The previous prime is 121121322213253. The next prime is 121121322213337. The reversal of 121121322213321 is 123312223121121.

121121322213321 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 1 + 322 + 2 + 1 + 332 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99791888388921 + 21329433824400 = 9989589^2 + 4618380^2 .

It is not a de Polignac number, because 121121322213321 - 2²² = 121121318019017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121121322213361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49116512236 + ... + 49116514701.

It is an arithmetic number, because the mean of its divisors is an integer number (14685837527231).

Almost surely, 2^{121121322213321} is an apocalyptic number.

It is an amenable number.

121121322213321 is a deficient number, since it is larger than the sum of its proper divisors (55108728113451).

121121322213321 is a wasteful number, since it uses less digits than its factorization.

121121322213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98233027080 (or 98233027077 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 121121322213321 its reverse (123312223121121), we get a palindrome (244433545334442).

The spelling of 121121322213321 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, three hundred twenty-two million, two hundred thirteen thousand, three hundred twenty-one".