101014312135229 has 2 divisors, whose sum is σ = 101014312135230. Its totient is φ = 101014312135228.

The previous prime is 101014312135207. The next prime is 101014312135267. The reversal of 101014312135229 is 922531213410101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57704882755129 + 43309429380100 = 7596373^2 + 6580990^2 .

It is a cyclic number.

It is not a de Polignac number, because 101014312135229 - 2¹² = 101014312131133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101014312135279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50507156067614 + 50507156067615.

It is an arithmetic number, because the mean of its divisors is an integer number (50507156067615).

Almost surely, 2^{101014312135229} is an apocalyptic number.

It is an amenable number.

101014312135229 is a deficient number, since it is larger than the sum of its proper divisors (1).

101014312135229 is an equidigital number, since it uses as much as digits as its factorization.

101014312135229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 101014312135229 in words is "one hundred one trillion, fourteen billion, three hundred twelve million, one hundred thirty-five thousand, two hundred twenty-nine".