110101210110821 has 2 divisors, whose sum is σ = 110101210110822. Its totient is φ = 110101210110820.

The previous prime is 110101210110811. The next prime is 110101210110823. The reversal of 110101210110821 is 128011012101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78665564548321 + 31435645562500 = 8869361^2 + 5606750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110101210110821 is a prime.

Together with 110101210110823, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101210110793 and 110101210110802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101210110823) 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, 55050605055410 + 55050605055411.

It is an arithmetic number, because the mean of its divisors is an integer number (55050605055411).

Almost surely, 2^{110101210110821} is an apocalyptic number.

It is an amenable number.

110101210110821 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101210110821 is an equidigital number, since it uses as much as digits as its factorization.

110101210110821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 20.

Adding to 110101210110821 its reverse (128011012101011), we get a palindrome (238112222211832).

The spelling of 110101210110821 in words is "one hundred ten trillion, one hundred one billion, two hundred ten million, one hundred ten thousand, eight hundred twenty-one".