100105500550001 has 6 divisors (see below), whose sum is σ = 103676445873702. Its totient is φ = 96653586737120.

The previous prime is 100105500549979. The next prime is 100105500550009. The reversal of 100105500550001 is 100055005501001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24918825999376 + 75186674550625 = 4991876^2 + 8671025^2 .

It is not a de Polignac number, because 100105500550001 - 2⁶ = 100105500549937 is a prime.

It is a super-2 number, since 2×100105500550001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100105500550009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59515754540 + ... + 59515756221.

It is an arithmetic number, because the mean of its divisors is an integer number (17279407645617).

Almost surely, 2^{100105500550001} is an apocalyptic number.

It is an amenable number.

100105500550001 is a deficient number, since it is larger than the sum of its proper divisors (3570945323701).

100105500550001 is an equidigital number, since it uses as much as digits as its factorization.

100105500550001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119031510819 (or 119031510790 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 100105500550001 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred fifty thousand, one".