10001050100560 has 20 divisors (see below), whose sum is σ = 23252441483988. Its totient is φ = 4000420040192.

The previous prime is 10001050100533. The next prime is 10001050100593. The reversal of 10001050100560 is 6500105010001.

It can be written as a sum of positive squares in 2 ways, for example, as 6129427189824 + 3871622910736 = 2475768^2 + 1967644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10001050100560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62506563049 + ... + 62506563208.

Almost surely, 2^{10001050100560} is an apocalyptic number.

10001050100560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001050100560 is an abundant number, since it is smaller than the sum of its proper divisors (13251391383428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001050100560 is a wasteful number, since it uses less digits than its factorization.

10001050100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125013126270 (or 125013126264 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 10001050100560 its reverse (6500105010001), we get a palindrome (16501155110561).

The spelling of 10001050100560 in words is "ten trillion, one billion, fifty million, one hundred thousand, five hundred sixty".