100011110010001 has 2 divisors, whose sum is σ = 100011110010002. Its totient is φ = 100011110010000.

The previous prime is 100011110009929. The next prime is 100011110010013. The reversal of 100011110010001 is 100010011110001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83298916326976 + 16712193683025 = 9126824^2 + 4088055^2 .

It is an emirp because it is prime and its reverse (100010011110001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100011110010001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011110050001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005555005000 + 50005555005001.

It is an arithmetic number, because the mean of its divisors is an integer number (50005555005001).

Almost surely, 2^{100011110010001} is an apocalyptic number.

It is an amenable number.

100011110010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011110010001 is an equidigital number, since it uses as much as digits as its factorization.

100011110010001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

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

The spelling of 100011110010001 in words is "one hundred trillion, eleven billion, one hundred ten million, ten thousand, one".