221020001332121 has 16 divisors (see below), whose sum is σ = 232784223475200. Its totient is φ = 209268952800768.

The previous prime is 221020001332103. The next prime is 221020001332171. The reversal of 221020001332121 is 121233100020122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221020001332121 is a prime.

It is a super-2 number, since 2×221020001332121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221020001332093 and 221020001332102.

It is not an unprimeable number, because it can be changed into a prime (221020001332171) 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 15 ways as a sum of consecutive naturals, for example, 570014111 + ... + 570401723.

It is an arithmetic number, because the mean of its divisors is an integer number (14549013967200).

Almost surely, 2^{221020001332121} is an apocalyptic number.

It is an amenable number.

221020001332121 is a deficient number, since it is larger than the sum of its proper divisors (11764222143079).

221020001332121 is a wasteful number, since it uses less digits than its factorization.

221020001332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404528.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221020001332121 its reverse (121233100020122), we get a palindrome (342253101352243).

The spelling of 221020001332121 in words is "two hundred twenty-one trillion, twenty billion, one million, three hundred thirty-two thousand, one hundred twenty-one".