221021102198033 has 2 divisors, whose sum is σ = 221021102198034. Its totient is φ = 221021102198032.

The previous prime is 221021102198003. The next prime is 221021102198047. The reversal of 221021102198033 is 330891201120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152078519968144 + 68942582229889 = 12332012^2 + 8303167^2 .

It is a cyclic number.

It is not a de Polignac number, because 221021102198033 - 2¹⁶ = 221021102132497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221021102197984 and 221021102198002.

It is not a weakly prime, because it can be changed into another prime (221021102198003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510551099016 + 110510551099017.

It is an arithmetic number, because the mean of its divisors is an integer number (110510551099017).

Almost surely, 2^{221021102198033} is an apocalyptic number.

It is an amenable number.

221021102198033 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021102198033 is an equidigital number, since it uses as much as digits as its factorization.

221021102198033 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 35.

The spelling of 221021102198033 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred two million, one hundred ninety-eight thousand, thirty-three".