221200132132321 has 8 divisors (see below), whose sum is σ = 221325854115240. Its totient is φ = 221074412474112.

The previous prime is 221200132132229. The next prime is 221200132132327. The reversal of 221200132132321 is 123231231002122.

221200132132321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104654720947921 + 116545411184400 = 10230089^2 + 10795620^2 .

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 221200132132321 - 2¹⁵ = 221200132099553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221200132132327) 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, 211785051 + ... + 212826943.

It is an arithmetic number, because the mean of its divisors is an integer number (27665731764405).

Almost surely, 2^{221200132132321} is an apocalyptic number.

It is an amenable number.

221200132132321 is a deficient number, since it is larger than the sum of its proper divisors (125721982919).

221200132132321 is a wasteful number, since it uses less digits than its factorization.

221200132132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162355.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 221200132132321 its reverse (123231231002122), we get a palindrome (344431363134443).

The spelling of 221200132132321 in words is "two hundred twenty-one trillion, two hundred billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty-one".