111001011006001 has 2 divisors, whose sum is σ = 111001011006002. Its totient is φ = 111001011006000.

The previous prime is 111001011005993. The next prime is 111001011006007. The reversal of 111001011006001 is 100600110100111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97151597615601 + 13849413390400 = 9856551^2 + 3721480^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001011006001 - 2³ = 111001011005993 is a prime.

It is not a weakly prime, because it can be changed into another prime (111001011006007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500505503000 + 55500505503001.

It is an arithmetic number, because the mean of its divisors is an integer number (55500505503001).

Almost surely, 2^{111001011006001} is an apocalyptic number.

It is an amenable number.

111001011006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001011006001 is an equidigital number, since it uses as much as digits as its factorization.

111001011006001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 111001011006001 its reverse (100600110100111), we get a palindrome (211601121106112).

The spelling of 111001011006001 in words is "one hundred eleven trillion, one billion, eleven million, six thousand, one".