101405150442529 has 2 divisors, whose sum is σ = 101405150442530. Its totient is φ = 101405150442528.

The previous prime is 101405150442521. The next prime is 101405150442551. The reversal of 101405150442529 is 925244051504101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94412024062225 + 6993126380304 = 9716585^2 + 2644452^2 .

It is a cyclic number.

It is not a de Polignac number, because 101405150442529 - 2³ = 101405150442521 is a prime.

It is not a weakly prime, because it can be changed into another prime (101405150442521) 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, 50702575221264 + 50702575221265.

It is an arithmetic number, because the mean of its divisors is an integer number (50702575221265).

Almost surely, 2^{101405150442529} is an apocalyptic number.

It is an amenable number.

101405150442529 is a deficient number, since it is larger than the sum of its proper divisors (1).

101405150442529 is an equidigital number, since it uses as much as digits as its factorization.

101405150442529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 101405150442529 in words is "one hundred one trillion, four hundred five billion, one hundred fifty million, four hundred forty-two thousand, five hundred twenty-nine".