110010211121873 has 2 divisors, whose sum is σ = 110010211121874. Its totient is φ = 110010211121872.

The previous prime is 110010211121761. The next prime is 110010211121897. The reversal of 110010211121873 is 378121112010011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105324817532944 + 4685393588929 = 10262788^2 + 2164577^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010211121873 - 2¹⁸ = 110010210859729 is a prime.

It is not a weakly prime, because it can be changed into another prime (110010211124873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005105560936 + 55005105560937.

It is an arithmetic number, because the mean of its divisors is an integer number (55005105560937).

Almost surely, 2^{110010211121873} is an apocalyptic number.

It is an amenable number.

110010211121873 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010211121873 is an equidigital number, since it uses as much as digits as its factorization.

110010211121873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 29.

Adding to 110010211121873 its reverse (378121112010011), we get a palindrome (488131323131884).

The spelling of 110010211121873 in words is "one hundred ten trillion, ten billion, two hundred eleven million, one hundred twenty-one thousand, eight hundred seventy-three".