101561316125 has 8 divisors (see below), whose sum is σ = 126748522680. Its totient is φ = 81249052800.

The previous prime is 101561316107. The next prime is 101561316137. The reversal of 101561316125 is 521613165101.

It can be written as a sum of positive squares in 4 ways, for example, as 15494772484 + 86066543641 = 124478^2 + 293371^2 .

It is not a de Polignac number, because 101561316125 - 2¹⁰ = 101561315101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101561316091 and 101561316100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406245140 + ... + 406245389.

It is an arithmetic number, because the mean of its divisors is an integer number (15843565335).

Almost surely, 2^101561316125 is an apocalyptic number.

It is an amenable number.

101561316125 is a deficient number, since it is larger than the sum of its proper divisors (25187206555).

101561316125 is an frugal number, since it uses more digits than its factorization.

101561316125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812490544 (or 812490534 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 101561316125 in words is "one hundred one billion, five hundred sixty-one million, three hundred sixteen thousand, one hundred twenty-five".