100010000111101 has 2 divisors, whose sum is σ = 100010000111102. Its totient is φ = 100010000111100.

The previous prime is 100010000111081. The next prime is 100010000111137. The reversal of 100010000111101 is 101111000010001.

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., 83142920739076 + 16867079372025 = 9118274^2 + 4106955^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010000111101 - 2¹⁹ = 100009999586813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010000111401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005000055550 + 50005000055551.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000055551).

Almost surely, 2^{100010000111101} is an apocalyptic number.

It is an amenable number.

100010000111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010000111101 is an equidigital number, since it uses as much as digits as its factorization.

100010000111101 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 7.

Adding to 100010000111101 its reverse (101111000010001), we get a palindrome (201121000121102).

The spelling of 100010000111101 in words is "one hundred trillion, ten billion, one hundred eleven thousand, one hundred one".