10100212321 has 2 divisors, whose sum is σ = 10100212322. Its totient is φ = 10100212320.

The previous prime is 10100212289. The next prime is 10100212327. The reversal of 10100212321 is 12321200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9165381696 + 934830625 = 95736^2 + 30575^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100212321 - 2⁵ = 10100212289 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100212327) 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, 5050106160 + 5050106161.

It is an arithmetic number, because the mean of its divisors is an integer number (5050106161).

Almost surely, 2^10100212321 is an apocalyptic number.

It is an amenable number.

10100212321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100212321 is an equidigital number, since it uses as much as digits as its factorization.

10100212321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10100212321 its reverse (12321200101), we get a palindrome (22421412422).

The spelling of 10100212321 in words is "ten billion, one hundred million, two hundred twelve thousand, three hundred twenty-one".