111101001010801 has 2 divisors, whose sum is σ = 111101001010802. Its totient is φ = 111101001010800.

The previous prime is 111101001010733. The next prime is 111101001010807. The reversal of 111101001010801 is 108010100101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105975083136400 + 5125917874401 = 10294420^2 + 2264049^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101001010801 - 2⁹ = 111101001010289 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101001010807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550500505400 + 55550500505401.

It is an arithmetic number, because the mean of its divisors is an integer number (55550500505401).

Almost surely, 2^{111101001010801} is an apocalyptic number.

It is an amenable number.

111101001010801 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101001010801 is an equidigital number, since it uses as much as digits as its factorization.

111101001010801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 111101001010801 its reverse (108010100101111), we get a palindrome (219111101111912).

The spelling of 111101001010801 in words is "one hundred eleven trillion, one hundred one billion, one million, ten thousand, eight hundred one".