221200102133 has 2 divisors, whose sum is σ = 221200102134. Its totient is φ = 221200102132.

The previous prime is 221200102091. The next prime is 221200102157. The reversal of 221200102133 is 331201002122.

221200102133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220831385329 + 368716804 = 469927^2 + 19202^2 .

It is a cyclic number.

It is not a de Polignac number, because 221200102133 - 2⁸ = 221200101877 is a prime.

It is a super-2 number, since 2×221200102133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221200108133) 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, 110600051066 + 110600051067.

It is an arithmetic number, because the mean of its divisors is an integer number (110600051067).

Almost surely, 2^221200102133 is an apocalyptic number.

It is an amenable number.

221200102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221200102133 is an equidigital number, since it uses as much as digits as its factorization.

221200102133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 221200102133 its reverse (331201002122), we get a palindrome (552401104255).

The spelling of 221200102133 in words is "two hundred twenty-one billion, two hundred million, one hundred two thousand, one hundred thirty-three".