221412504100321 has 2 divisors, whose sum is σ = 221412504100322. Its totient is φ = 221412504100320.

The previous prime is 221412504100267. The next prime is 221412504100327. The reversal of 221412504100321 is 123001405214122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208042804368721 + 13369699731600 = 14423689^2 + 3656460^2 .

It is a cyclic number.

It is not a de Polignac number, because 221412504100321 - 2²¹ = 221412502003169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221412504100321.

It is not a weakly prime, because it can be changed into another prime (221412504100327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110706252050160 + 110706252050161.

It is an arithmetic number, because the mean of its divisors is an integer number (110706252050161).

Almost surely, 2^{221412504100321} is an apocalyptic number.

It is an amenable number.

221412504100321 is a deficient number, since it is larger than the sum of its proper divisors (1).

221412504100321 is an equidigital number, since it uses as much as digits as its factorization.

221412504100321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 221412504100321 its reverse (123001405214122), we get a palindrome (344413909314443).

The spelling of 221412504100321 in words is "two hundred twenty-one trillion, four hundred twelve billion, five hundred four million, one hundred thousand, three hundred twenty-one".