102012100033 has 2 divisors, whose sum is σ = 102012100034. Its totient is φ = 102012100032.

The previous prime is 102012100027. The next prime is 102012100037. The reversal of 102012100033 is 330001210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90518544769 + 11493555264 = 300863^2 + 107208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102012100033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102012099986 and 102012100022.

It is not a weakly prime, because it can be changed into another prime (102012100037) 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, 51006050016 + 51006050017.

It is an arithmetic number, because the mean of its divisors is an integer number (51006050017).

Almost surely, 2^102012100033 is an apocalyptic number.

It is an amenable number.

102012100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012100033 is an equidigital number, since it uses as much as digits as its factorization.

102012100033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102012100033 its reverse (330001210201), we get a palindrome (432013310234).

The spelling of 102012100033 in words is "one hundred two billion, twelve million, one hundred thousand, thirty-three".