101110111102001 has 2 divisors, whose sum is σ = 101110111102002. Its totient is φ = 101110111102000.

The previous prime is 101110111101997. The next prime is 101110111102019. The reversal of 101110111102001 is 100201111011101.

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., 84030240573601 + 17079870528400 = 9166801^2 + 4132780^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110111102001 - 2² = 101110111101997 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110111102051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055551000 + 50555055551001.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055551001).

Almost surely, 2^{101110111102001} is an apocalyptic number.

It is an amenable number.

101110111102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110111102001 is an equidigital number, since it uses as much as digits as its factorization.

101110111102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101110111102001 its reverse (100201111011101), we get a palindrome (201311222113102).

The spelling of 101110111102001 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred two thousand, one".