100100000100101 has 2 divisors, whose sum is σ = 100100000100102. Its totient is φ = 100100000100100.

The previous prime is 100100000100091. The next prime is 100100000100109. The reversal of 100100000100101 is 101001000001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77806248016225 + 22293752083876 = 8820785^2 + 4721626^2 .

It is an emirp because it is prime and its reverse (101001000001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100000100101 - 2¹⁴ = 100100000083717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100000100109) 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 as a sum of consecutive naturals, namely, 50050000050050 + 50050000050051.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000050051).

Almost surely, 2^{100100000100101} is an apocalyptic number.

It is an amenable number.

100100000100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100000100101 is an equidigital number, since it uses as much as digits as its factorization.

100100000100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100100000100101 its reverse (101001000001001), we get a palindrome (201101000101102).

The spelling of 100100000100101 in words is "one hundred trillion, one hundred billion, one hundred thousand, one hundred one".