101242124329 has 2 divisors, whose sum is σ = 101242124330. Its totient is φ = 101242124328.

The previous prime is 101242124281. The next prime is 101242124341. The reversal of 101242124329 is 923421242101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91825362729 + 9416761600 = 303027^2 + 97040^2 .

It is a cyclic number.

It is not a de Polignac number, because 101242124329 - 2²⁵ = 101208569897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101242124329.

It is not a weakly prime, because it can be changed into another prime (101242122329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50621062164 + 50621062165.

It is an arithmetic number, because the mean of its divisors is an integer number (50621062165).

Almost surely, 2^101242124329 is an apocalyptic number.

It is an amenable number.

101242124329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101242124329 is an equidigital number, since it uses as much as digits as its factorization.

101242124329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 101242124329 in words is "one hundred one billion, two hundred forty-two million, one hundred twenty-four thousand, three hundred twenty-nine".