102200120021033 has 2 divisors, whose sum is σ = 102200120021034. Its totient is φ = 102200120021032.

The previous prime is 102200120021009. The next prime is 102200120021089. The reversal of 102200120021033 is 330120021002201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62324898630544 + 39875221390489 = 7894612^2 + 6314683^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200120021033 - 2⁶ = 102200120020969 is a prime.

It is not a weakly prime, because it can be changed into another prime (102200120021533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100060010516 + 51100060010517.

It is an arithmetic number, because the mean of its divisors is an integer number (51100060010517).

Almost surely, 2^{102200120021033} is an apocalyptic number.

It is an amenable number.

102200120021033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200120021033 is an equidigital number, since it uses as much as digits as its factorization.

102200120021033 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 102200120021033 its reverse (330120021002201), we get a palindrome (432320141023234).

The spelling of 102200120021033 in words is "one hundred two trillion, two hundred billion, one hundred twenty million, twenty-one thousand, thirty-three".