111001100100001 has 2 divisors, whose sum is σ = 111001100100002. Its totient is φ = 111001100100000.

The previous prime is 111001100099977. The next prime is 111001100100019. The reversal of 111001100100001 is 100001001100111.

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., 86871627045025 + 24129473054976 = 9320495^2 + 4912176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111001100100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (111001100100071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500550050000 + 55500550050001.

It is an arithmetic number, because the mean of its divisors is an integer number (55500550050001).

Almost surely, 2^{111001100100001} is an apocalyptic number.

It is an amenable number.

111001100100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001100100001 is an equidigital number, since it uses as much as digits as its factorization.

111001100100001 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 111001100100001 its reverse (100001001100111), we get a palindrome (211002101200112).

The spelling of 111001100100001 in words is "one hundred eleven trillion, one billion, one hundred million, one hundred thousand, one".