221303412001 has 8 divisors (see below), whose sum is σ = 252987110784. Its totient is φ = 189636944640.

The previous prime is 221303411957. The next prime is 221303412037. The reversal of 221303412001 is 100214303122.

It is a happy number.

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 221303412001 - 2¹³ = 221303403809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221303412001.

It is not an unprimeable number, because it can be changed into a prime (221303412041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4280320 + ... + 4331713.

It is an arithmetic number, because the mean of its divisors is an integer number (31623388848).

Almost surely, 2^221303412001 is an apocalyptic number.

It is an amenable number.

221303412001 is a deficient number, since it is larger than the sum of its proper divisors (31683698783).

221303412001 is an equidigital number, since it uses as much as digits as its factorization.

221303412001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8615711.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 221303412001 its reverse (100214303122), we get a palindrome (321517715123).

The spelling of 221303412001 in words is "two hundred twenty-one billion, three hundred three million, four hundred twelve thousand, one".