1010213002321 has 2 divisors, whose sum is σ = 1010213002322. Its totient is φ = 1010213002320.

The previous prime is 1010213002319. The next prime is 1010213002333. The reversal of 1010213002321 is 1232003120101.

1010213002321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974042668096 + 36170334225 = 986936^2 + 190185^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010213002321 - 2¹ = 1010213002319 is a prime.

Together with 1010213002319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1010213002295 and 1010213002304.

It is not a weakly prime, because it can be changed into another prime (1010213006321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505106501160 + 505106501161.

It is an arithmetic number, because the mean of its divisors is an integer number (505106501161).

Almost surely, 2^{1010213002321} is an apocalyptic number.

It is an amenable number.

1010213002321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010213002321 is an equidigital number, since it uses as much as digits as its factorization.

1010213002321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1010213002321 its reverse (1232003120101), we get a palindrome (2242216122422).

The spelling of 1010213002321 in words is "one trillion, ten billion, two hundred thirteen million, two thousand, three hundred twenty-one".