102133033320029 has 2 divisors, whose sum is σ = 102133033320030. Its totient is φ = 102133033320028.

The previous prime is 102133033320007. The next prime is 102133033320121. The reversal of 102133033320029 is 920023330331201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74034838922500 + 28098194397529 = 8604350^2 + 5300773^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133033320029 - 2⁴⁰ = 101033521692253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102133033319977 and 102133033320004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102133033320229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066516660014 + 51066516660015.

It is an arithmetic number, because the mean of its divisors is an integer number (51066516660015).

Almost surely, 2^{102133033320029} is an apocalyptic number.

It is an amenable number.

102133033320029 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133033320029 is an equidigital number, since it uses as much as digits as its factorization.

102133033320029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 102133033320029 in words is "one hundred two trillion, one hundred thirty-three billion, thirty-three million, three hundred twenty thousand, twenty-nine".