101004821 has 2 divisors, whose sum is σ = 101004822. Its totient is φ = 101004820.

The previous prime is 101004809. The next prime is 101004823. The reversal of 101004821 is 128400101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52200625 + 48804196 = 7225^2 + 6986^2 .

It is a cyclic number.

It is not a de Polignac number, because 101004821 - 2²² = 96810517 is a prime.

Together with 101004823, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101004821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101004823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50502410 + 50502411.

It is an arithmetic number, because the mean of its divisors is an integer number (50502411).

Almost surely, 2^101004821 is an apocalyptic number.

It is an amenable number.

101004821 is a deficient number, since it is larger than the sum of its proper divisors (1).

101004821 is an equidigital number, since it uses as much as digits as its factorization.

101004821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 101004821 is about 10050.1154719734. The cubic root of 101004821 is about 465.7083603796.

Adding to 101004821 its reverse (128400101), we get a palindrome (229404922).

The spelling of 101004821 in words is "one hundred one million, four thousand, eight hundred twenty-one".