221500106605249 has 2 divisors, whose sum is σ = 221500106605250. Its totient is φ = 221500106605248.

The previous prime is 221500106605207. The next prime is 221500106605273. The reversal of 221500106605249 is 942506601005122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 197271659987649 + 24228446617600 = 14045343^2 + 4922240^2 .

It is a cyclic number.

It is not a de Polignac number, because 221500106605249 - 2¹⁹ = 221500106080961 is a prime.

It is a super-2 number, since 2×221500106605249² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221500106645249) 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, 110750053302624 + 110750053302625.

It is an arithmetic number, because the mean of its divisors is an integer number (110750053302625).

Almost surely, 2^{221500106605249} is an apocalyptic number.

It is an amenable number.

221500106605249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221500106605249 is an equidigital number, since it uses as much as digits as its factorization.

221500106605249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 221500106605249 in words is "two hundred twenty-one trillion, five hundred billion, one hundred six million, six hundred five thousand, two hundred forty-nine".