101442560520205 has 16 divisors (see below), whose sum is σ = 128944527055344. Its totient is φ = 76348990136320.

The previous prime is 101442560520173. The next prime is 101442560520281. The reversal of 101442560520205 is 502025065244101.

It can be written as a sum of positive squares in 8 ways, for example, as 21487455396 + 101421073064809 = 146586^2 + 10070803^2 .

It is not a de Polignac number, because 101442560520205 - 2⁵ = 101442560520173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 244250092 + ... + 244665061.

It is an arithmetic number, because the mean of its divisors is an integer number (8059032940959).

Almost surely, 2^{101442560520205} is an apocalyptic number.

It is an amenable number.

101442560520205 is a deficient number, since it is larger than the sum of its proper divisors (27501966535139).

101442560520205 is a wasteful number, since it uses less digits than its factorization.

101442560520205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488917616.

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 101442560520205 in words is "one hundred one trillion, four hundred forty-two billion, five hundred sixty million, five hundred twenty thousand, two hundred five".