101110020821 has 2 divisors, whose sum is σ = 101110020822. Its totient is φ = 101110020820.

The previous prime is 101110020797. The next prime is 101110020883. The reversal of 101110020821 is 128020011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99941338225 + 1168682596 = 316135^2 + 34186^2 .

It is an emirp because it is prime and its reverse (128020011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110020821 - 2¹⁰ = 101110019797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101110020821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110028821) 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, 50555010410 + 50555010411.

It is an arithmetic number, because the mean of its divisors is an integer number (50555010411).

Almost surely, 2^101110020821 is an apocalyptic number.

It is an amenable number.

101110020821 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110020821 is an equidigital number, since it uses as much as digits as its factorization.

101110020821 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 17.

Adding to 101110020821 its reverse (128020011101), we get a palindrome (229130031922).

The spelling of 101110020821 in words is "one hundred one billion, one hundred ten million, twenty thousand, eight hundred twenty-one".