221501321440001 has 8 divisors (see below), whose sum is σ = 222913137516264. Its totient is φ = 220089517764480.

The previous prime is 221501321439949. The next prime is 221501321440019. The reversal of 221501321440001 is 100044123105122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52691977637776 + 168809343802225 = 7258924^2 + 12992665^2 .

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 221501321440001 - 2¹⁴ = 221501321423617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221501321440081) 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, 34160141 + ... + 40123781.

It is an arithmetic number, because the mean of its divisors is an integer number (27864142189533).

Almost surely, 2^{221501321440001} is an apocalyptic number.

It is an amenable number.

221501321440001 is a deficient number, since it is larger than the sum of its proper divisors (1411816076263).

221501321440001 is a wasteful number, since it uses less digits than its factorization.

221501321440001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200371.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 221501321440001 its reverse (100044123105122), we get a palindrome (321545444545123).

The spelling of 221501321440001 in words is "two hundred twenty-one trillion, five hundred one billion, three hundred twenty-one million, four hundred forty thousand, one".