110985114241 has 2 divisors, whose sum is σ = 110985114242. Its totient is φ = 110985114240.

The previous prime is 110985114211. The next prime is 110985114269. The reversal of 110985114241 is 142411589011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107499392641 + 3485721600 = 327871^2 + 59040^2 .

It is a cyclic number.

It is not a de Polignac number, because 110985114241 - 2²³ = 110976725633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110985114241.

It is not a weakly prime, because it can be changed into another prime (110985114211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55492557120 + 55492557121.

It is an arithmetic number, because the mean of its divisors is an integer number (55492557121).

Almost surely, 2^110985114241 is an apocalyptic number.

It is an amenable number.

110985114241 is a deficient number, since it is larger than the sum of its proper divisors (1).

110985114241 is an equidigital number, since it uses as much as digits as its factorization.

110985114241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 110985114241 in words is "one hundred ten billion, nine hundred eighty-five million, one hundred fourteen thousand, two hundred forty-one".