100505131201 has 8 divisors (see below), whose sum is σ = 100688918400. Its totient is φ = 100321398528.

The previous prime is 100505131171. The next prime is 100505131261. The reversal of 100505131201 is 102131505001.

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

It is a cyclic number.

It is not a de Polignac number, because 100505131201 - 2⁵ = 100505131169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100505131261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6087780 + ... + 6104266.

It is an arithmetic number, because the mean of its divisors is an integer number (12586114800).

Almost surely, 2^100505131201 is an apocalyptic number.

It is an amenable number.

100505131201 is a deficient number, since it is larger than the sum of its proper divisors (183787199).

100505131201 is a wasteful number, since it uses less digits than its factorization.

100505131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27263.

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

Adding to 100505131201 its reverse (102131505001), we get a palindrome (202636636202).

The spelling of 100505131201 in words is "one hundred billion, five hundred five million, one hundred thirty-one thousand, two hundred one".