110010011100001 has 2 divisors, whose sum is σ = 110010011100002. Its totient is φ = 110010011100000.

The previous prime is 110010011099929. The next prime is 110010011100071. The reversal of 110010011100001 is 100001110010011.

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., 61015610940001 + 48994400160000 = 7811249^2 + 6999600^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010011100001 - 2⁹ = 110010011099489 is a prime.

It is not a weakly prime, because it can be changed into another prime (110010011100071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005005550000 + 55005005550001.

It is an arithmetic number, because the mean of its divisors is an integer number (55005005550001).

Almost surely, 2^{110010011100001} is an apocalyptic number.

It is an amenable number.

110010011100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010011100001 is an equidigital number, since it uses as much as digits as its factorization.

110010011100001 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 110010011100001 its reverse (100001110010011), we get a palindrome (210011121110012).

It can be divided in two parts, 110010011 and 100001, that multiplied together give a palindrome (11001111110011).

The spelling of 110010011100001 in words is "one hundred ten trillion, ten billion, eleven million, one hundred thousand, one".