331012100102029 has 2 divisors, whose sum is σ = 331012100102030. Its totient is φ = 331012100102028.

The previous prime is 331012100101999. The next prime is 331012100102171. The reversal of 331012100102029 is 920201001210133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295419540699529 + 35592559402500 = 17187773^2 + 5965950^2 .

It is a cyclic number.

It is not a de Polignac number, because 331012100102029 - 2⁷ = 331012100101901 is a prime.

It is a super-2 number, since 2×331012100102029² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331012100101994 and 331012100102012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331012100502029) 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, 165506050051014 + 165506050051015.

It is an arithmetic number, because the mean of its divisors is an integer number (165506050051015).

Almost surely, 2^{331012100102029} is an apocalyptic number.

It is an amenable number.

331012100102029 is a deficient number, since it is larger than the sum of its proper divisors (1).

331012100102029 is an equidigital number, since it uses as much as digits as its factorization.

331012100102029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 331012100102029 in words is "three hundred thirty-one trillion, twelve billion, one hundred million, one hundred two thousand, twenty-nine".