111001100010001 has 2 divisors, whose sum is σ = 111001100010002. Its totient is φ = 111001100010000.

The previous prime is 111001100009983. The next prime is 111001100010089. The reversal of 111001100010001 is 100010001100111.

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., 96362670969601 + 14638429040400 = 9816449^2 + 3826020^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001100010001 - 2³⁵ = 110966740271633 is a prime.

It is not a weakly prime, because it can be changed into another prime (111001100010401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500550005000 + 55500550005001.

It is an arithmetic number, because the mean of its divisors is an integer number (55500550005001).

Almost surely, 2^{111001100010001} is an apocalyptic number.

It is an amenable number.

111001100010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001100010001 is an equidigital number, since it uses as much as digits as its factorization.

111001100010001 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 111001100010001 its reverse (100010001100111), we get a palindrome (211011101110112).

The spelling of 111001100010001 in words is "one hundred eleven trillion, one billion, one hundred million, ten thousand, one".