101075000821 has 2 divisors, whose sum is σ = 101075000822. Its totient is φ = 101075000820.

The previous prime is 101075000783. The next prime is 101075000833. The reversal of 101075000821 is 128000570101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58510772100 + 42564228721 = 241890^2 + 206311^2 .

It is a cyclic number.

It is not a de Polignac number, because 101075000821 - 2⁹ = 101075000309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101075000881) 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, 50537500410 + 50537500411.

It is an arithmetic number, because the mean of its divisors is an integer number (50537500411).

Almost surely, 2^101075000821 is an apocalyptic number.

It is an amenable number.

101075000821 is a deficient number, since it is larger than the sum of its proper divisors (1).

101075000821 is an equidigital number, since it uses as much as digits as its factorization.

101075000821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 101075000821 its reverse (128000570101), we get a palindrome (229075570922).

The spelling of 101075000821 in words is "one hundred one billion, seventy-five million, eight hundred twenty-one", and thus it is an aban number.