101110111199941 has 2 divisors, whose sum is σ = 101110111199942. Its totient is φ = 101110111199940.

The previous prime is 101110111199917. The next prime is 101110111200031. The reversal of 101110111199941 is 149991111011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71652669744100 + 29457441455841 = 8464790^2 + 5427471^2 .

It is an emirp because it is prime and its reverse (149991111011101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110111199941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110111199894 and 101110111199903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110111197941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055599970 + 50555055599971.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055599971).

Almost surely, 2^{101110111199941} is an apocalyptic number.

It is an amenable number.

101110111199941 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110111199941 is an equidigital number, since it uses as much as digits as its factorization.

101110111199941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 40.

The spelling of 101110111199941 in words is "one hundred one trillion, one hundred ten billion, one hundred eleven million, one hundred ninety-nine thousand, nine hundred forty-one".