10100103821 has 2 divisors, whose sum is σ = 10100103822. Its totient is φ = 10100103820.

The previous prime is 10100103817. The next prime is 10100103829. The reversal of 10100103821 is 12830100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5526286921 + 4573816900 = 74339^2 + 67630^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100103821 - 2² = 10100103817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100103821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100103829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050051910 + 5050051911.

It is an arithmetic number, because the mean of its divisors is an integer number (5050051911).

Almost surely, 2^10100103821 is an apocalyptic number.

It is an amenable number.

10100103821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100103821 is an equidigital number, since it uses as much as digits as its factorization.

10100103821 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 10100103821 its reverse (12830100101), we get a palindrome (22930203922).

The spelling of 10100103821 in words is "ten billion, one hundred million, one hundred three thousand, eight hundred twenty-one".