110020211000261 has 2 divisors, whose sum is σ = 110020211000262. Its totient is φ = 110020211000260.

The previous prime is 110020211000201. The next prime is 110020211000263. The reversal of 110020211000261 is 162000112020011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74699547552100 + 35320663448161 = 8642890^2 + 5943119^2 .

It is an emirp because it is prime and its reverse (162000112020011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110020211000261 - 2²⁶ = 110020143891397 is a prime.

Together with 110020211000263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110020211000263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55010105500130 + 55010105500131.

It is an arithmetic number, because the mean of its divisors is an integer number (55010105500131).

Almost surely, 2^{110020211000261} is an apocalyptic number.

It is an amenable number.

110020211000261 is a deficient number, since it is larger than the sum of its proper divisors (1).

110020211000261 is an equidigital number, since it uses as much as digits as its factorization.

110020211000261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 110020211000261 its reverse (162000112020011), we get a palindrome (272020323020272).

The spelling of 110020211000261 in words is "one hundred ten trillion, twenty billion, two hundred eleven million, two hundred sixty-one", and thus it is an aban number.