221001314121 has 12 divisors (see below), whose sum is σ = 364827566272. Its totient is φ = 126286465176.

The previous prime is 221001314099. The next prime is 221001314173. The reversal of 221001314121 is 121413100122.

221001314121 is a `hidden beast` number, since 22 + 100 + 131 + 412 + 1 = 666.

It is not a de Polignac number, because 221001314121 - 2⁹ = 221001313609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221001314094 and 221001314103.

It is not an unprimeable number, because it can be changed into a prime (221002314121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1753978621 + ... + 1753978746.

Almost surely, 2^221001314121 is an apocalyptic number.

221001314121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221001314121 is a deficient number, since it is larger than the sum of its proper divisors (143826252151).

221001314121 is a wasteful number, since it uses less digits than its factorization.

221001314121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507957380 (or 3507957377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221001314121 its reverse (121413100122), we get a palindrome (342414414243).

The spelling of 221001314121 in words is "two hundred twenty-one billion, one million, three hundred fourteen thousand, one hundred twenty-one".