100010011110001 has 2 divisors, whose sum is σ = 100010011110002. Its totient is φ = 100010011110000.

The previous prime is 100010011109999. The next prime is 100010011110029. The reversal of 100010011110001 is 100011110010001.

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., 56361790487601 + 43648220622400 = 7507449^2 + 6606680^2 .

It is an emirp because it is prime and its reverse (100011110010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010011110001 - 2¹ = 100010011109999 is a prime.

Together with 100010011109999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100010017110001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005005555000 + 50005005555001.

It is an arithmetic number, because the mean of its divisors is an integer number (50005005555001).

Almost surely, 2^{100010011110001} is an apocalyptic number.

It is an amenable number.

100010011110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010011110001 is an equidigital number, since it uses as much as digits as its factorization.

100010011110001 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 100010011110001 its reverse (100011110010001), we get a palindrome (200021121120002).

It can be divided in two parts, 1000 and 10011110001, that added together give a palindrome (10011111001).

The spelling of 100010011110001 in words is "one hundred trillion, ten billion, eleven million, one hundred ten thousand, one".