101305025005241 has 8 divisors (see below), whose sum is σ = 101657161759944. Its totient is φ = 100953093047040.

The previous prime is 101305025005211. The next prime is 101305025005243. The reversal of 101305025005241 is 142500520503101.

It can be written as a sum of positive squares in 4 ways, for example, as 28637856559225 + 72667168446016 = 5351435^2 + 8524504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101305025005241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101305025005243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50208050 + ... + 52186763.

It is an arithmetic number, because the mean of its divisors is an integer number (12707145219993).

Almost surely, 2^{101305025005241} is an apocalyptic number.

It is an amenable number.

101305025005241 is a deficient number, since it is larger than the sum of its proper divisors (352136754703).

101305025005241 is a wasteful number, since it uses less digits than its factorization.

101305025005241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102398251.

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 101305025005241 its reverse (142500520503101), we get a palindrome (243805545508342).

The spelling of 101305025005241 in words is "one hundred one trillion, three hundred five billion, twenty-five million, five thousand, two hundred forty-one".