100505510500601 has 16 divisors (see below), whose sum is σ = 102160662912000. Its totient is φ = 98857045971600.

The previous prime is 100505510500573. The next prime is 100505510500651. The reversal of 100505510500601 is 106005015505001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100505510500601 - 2¹⁰ = 100505510499577 is a prime.

It is a super-3 number, since 3×100505510500601³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100505510500651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458043446 + ... + 458262816.

It is an arithmetic number, because the mean of its divisors is an integer number (6385041432000).

Almost surely, 2^{100505510500601} is an apocalyptic number.

It is an amenable number.

100505510500601 is a deficient number, since it is larger than the sum of its proper divisors (1655152411399).

100505510500601 is a wasteful number, since it uses less digits than its factorization.

100505510500601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234580.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 100505510500601 in words is "one hundred trillion, five hundred five billion, five hundred ten million, five hundred thousand, six hundred one".