101031102320129 has 2 divisors, whose sum is σ = 101031102320130. Its totient is φ = 101031102320128.

The previous prime is 101031102320107. The next prime is 101031102320209. The reversal of 101031102320129 is 921023201130101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91301369280625 + 9729733039504 = 9555175^2 + 3119252^2 .

It is a cyclic number.

It is not a de Polignac number, because 101031102320129 - 2¹² = 101031102316033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101031102320098 and 101031102320107.

It is not a weakly prime, because it can be changed into another prime (101031102220129) 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, 50515551160064 + 50515551160065.

It is an arithmetic number, because the mean of its divisors is an integer number (50515551160065).

Almost surely, 2^{101031102320129} is an apocalyptic number.

It is an amenable number.

101031102320129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031102320129 is an equidigital number, since it uses as much as digits as its factorization.

101031102320129 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 26.

The spelling of 101031102320129 in words is "one hundred one trillion, thirty-one billion, one hundred two million, three hundred twenty thousand, one hundred twenty-nine".