102221121202133 has 2 divisors, whose sum is σ = 102221121202134. Its totient is φ = 102221121202132.

The previous prime is 102221121202111. The next prime is 102221121202139. The reversal of 102221121202133 is 331202121122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63465727705444 + 38755393496689 = 7966538^2 + 6225383^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221121202133 - 2²² = 102221117007829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221121202099 and 102221121202108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221121202139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110560601066 + 51110560601067.

It is an arithmetic number, because the mean of its divisors is an integer number (51110560601067).

Almost surely, 2^{102221121202133} is an apocalyptic number.

It is an amenable number.

102221121202133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221121202133 is an equidigital number, since it uses as much as digits as its factorization.

102221121202133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 102221121202133 its reverse (331202121122201), we get a palindrome (433423242324334).

The spelling of 102221121202133 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred two thousand, one hundred thirty-three".