21131121301121 has 8 divisors (see below), whose sum is σ = 22815092412840. Its totient is φ = 19455507366912.

The previous prime is 21131121301097. The next prime is 21131121301123. The reversal of 21131121301121 is 12110312113112.

It can be written as a sum of positive squares in 4 ways, for example, as 1937399529025 + 19193721772096 = 1391905^2 + 4381064^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21131121301121 - 2¹⁴ = 21131121284737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21131121301093 and 21131121301102.

It is not an unprimeable number, because it can be changed into a prime (21131121301123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2089289120 + ... + 2089299233.

It is an arithmetic number, because the mean of its divisors is an integer number (2851886551605).

Almost surely, 2^{21131121301121} is an apocalyptic number.

It is an amenable number.

21131121301121 is a deficient number, since it is larger than the sum of its proper divisors (1683971111719).

21131121301121 is a wasteful number, since it uses less digits than its factorization.

21131121301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178588755.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 21131121301121 its reverse (12110312113112), we get a palindrome (33241433414233).

The spelling of 21131121301121 in words is "twenty-one trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred one thousand, one hundred twenty-one".