221234413201 has 8 divisors (see below), whose sum is σ = 230186099880. Its totient is φ = 212370920832.

The previous prime is 221234413129. The next prime is 221234413217. The reversal of 221234413201 is 102314432122.

It can be written as a sum of positive squares in 4 ways, for example, as 14413203025 + 206821210176 = 120055^2 + 454776^2 .

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 221234413201 - 2¹⁹ = 221233888913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221234413271) 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, 22043460 + ... + 22053493.

It is an arithmetic number, because the mean of its divisors is an integer number (28773262485).

Almost surely, 2^221234413201 is an apocalyptic number.

It is an amenable number.

221234413201 is a deficient number, since it is larger than the sum of its proper divisors (8951686679).

221234413201 is a wasteful number, since it uses less digits than its factorization.

221234413201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44097155.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 221234413201 its reverse (102314432122), we get a palindrome (323548845323).

The spelling of 221234413201 in words is "two hundred twenty-one billion, two hundred thirty-four million, four hundred thirteen thousand, two hundred one".