102213233232221 has 2 divisors, whose sum is σ = 102213233232222. Its totient is φ = 102213233232220.

The previous prime is 102213233232211. The next prime is 102213233232317. The reversal of 102213233232221 is 122232332312201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100177078322500 + 2036154909721 = 10008850^2 + 1426939^2 .

It is an emirp because it is prime and its reverse (122232332312201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102213233232221 - 2¹⁴ = 102213233215837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102213233232211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106616616110 + 51106616616111.

It is an arithmetic number, because the mean of its divisors is an integer number (51106616616111).

Almost surely, 2^{102213233232221} is an apocalyptic number.

It is an amenable number.

102213233232221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213233232221 is an equidigital number, since it uses as much as digits as its factorization.

102213233232221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 102213233232221 its reverse (122232332312201), we get a palindrome (224445565544422).

The spelling of 102213233232221 in words is "one hundred two trillion, two hundred thirteen billion, two hundred thirty-three million, two hundred thirty-two thousand, two hundred twenty-one".