100111100110001 has 2 divisors, whose sum is σ = 100111100110002. Its totient is φ = 100111100110000.

The previous prime is 100111100109989. The next prime is 100111100110003. The reversal of 100111100110001 is 100011001111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92464763539600 + 7646336570401 = 9615860^2 + 2765201^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111100110001 is a prime.

Together with 100111100110003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100111100110003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550055000 + 50055550055001.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550055001).

Almost surely, 2^{100111100110001} is an apocalyptic number.

It is an amenable number.

100111100110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100110001 is an equidigital number, since it uses as much as digits as its factorization.

100111100110001 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 8.

Adding to 100111100110001 its reverse (100011001111001), we get a palindrome (200122101221002).

It can be divided in two parts, 1001111001 and 10001, that multiplied together give a palindrome (10012111121001).

The spelling of 100111100110001 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred ten thousand, one".