102200020033 has 2 divisors, whose sum is σ = 102200020034. Its totient is φ = 102200020032.

The previous prime is 102200020001. The next prime is 102200020073. The reversal of 102200020033 is 330020002201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102199777969 + 242064 = 319687^2 + 492^2 .

It is an emirp because it is prime and its reverse (330020002201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102200020033 - 2⁵ = 102200020001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102200019995 and 102200020022.

It is not a weakly prime, because it can be changed into another prime (102200020073) 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, 51100010016 + 51100010017.

It is an arithmetic number, because the mean of its divisors is an integer number (51100010017).

Almost surely, 2^102200020033 is an apocalyptic number.

It is an amenable number.

102200020033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200020033 is an equidigital number, since it uses as much as digits as its factorization.

102200020033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 102200020033 its reverse (330020002201), we get a palindrome (432220022234).

The spelling of 102200020033 in words is "one hundred two billion, two hundred million, twenty thousand, thirty-three".