221301021829 has 2 divisors, whose sum is σ = 221301021830. Its totient is φ = 221301021828.

The previous prime is 221301021791. The next prime is 221301021847. The reversal of 221301021829 is 928120103122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219052080900 + 2248940929 = 468030^2 + 47423^2 .

It is a cyclic number.

It is not a de Polignac number, because 221301021829 - 2⁷ = 221301021701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221301021829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221301621829) 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 as a sum of consecutive naturals, namely, 110650510914 + 110650510915.

It is an arithmetic number, because the mean of its divisors is an integer number (110650510915).

Almost surely, 2^221301021829 is an apocalyptic number.

It is an amenable number.

221301021829 is a deficient number, since it is larger than the sum of its proper divisors (1).

221301021829 is an equidigital number, since it uses as much as digits as its factorization.

221301021829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 221301021829 in words is "two hundred twenty-one billion, three hundred one million, twenty-one thousand, eight hundred twenty-nine".