110112101001941 has 2 divisors, whose sum is σ = 110112101001942. Its totient is φ = 110112101001940.

The previous prime is 110112101001919. The next prime is 110112101002109. The reversal of 110112101001941 is 149100101211011.

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., 68247590664100 + 41864510337841 = 8261210^2 + 6470279^2 .

It is a cyclic number.

It is not a de Polignac number, because 110112101001941 - 2³⁸ = 109837223094997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110112101001241) 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, 55056050500970 + 55056050500971.

It is an arithmetic number, because the mean of its divisors is an integer number (55056050500971).

Almost surely, 2^{110112101001941} is an apocalyptic number.

It is an amenable number.

110112101001941 is a deficient number, since it is larger than the sum of its proper divisors (1).

110112101001941 is an equidigital number, since it uses as much as digits as its factorization.

110112101001941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

Adding to 110112101001941 its reverse (149100101211011), we get a palindrome (259212202212952).

The spelling of 110112101001941 in words is "one hundred ten trillion, one hundred twelve billion, one hundred one million, one thousand, nine hundred forty-one".