100105500500501 has 2 divisors, whose sum is σ = 100105500500502. Its totient is φ = 100105500500500.

The previous prime is 100105500500491. The next prime is 100105500500513. The reversal of 100105500500501 is 105005005501001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61045687954276 + 39059812546225 = 7813174^2 + 6249785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100105500500501 is a prime.

It is a super-2 number, since 2×100105500500501² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105500500531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750250250 + 50052750250251.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750250251).

Almost surely, 2^{100105500500501} is an apocalyptic number.

It is an amenable number.

100105500500501 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500500501 is an equidigital number, since it uses as much as digits as its factorization.

100105500500501 is an odious number, because the sum of its binary digits is odd.

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

It can be divided in two parts, 100105500500 and 501, that added together give a palindrome (100105501001).

The spelling of 100105500500501 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred thousand, five hundred one".