10021121321213 has 8 divisors (see below), whose sum is σ = 10026354444408. Its totient is φ = 10015888739584.

The previous prime is 10021121321179. The next prime is 10021121321303. The reversal of 10021121321213 is 31212312112001.

10021121321213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2945936275129 + 7075185046084 = 1716373^2 + 2659922^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10021121321213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021121324213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39957395 + ... + 40207407.

It is an arithmetic number, because the mean of its divisors is an integer number (1253294305551).

Almost surely, 2^{10021121321213} is an apocalyptic number.

It is an amenable number.

10021121321213 is a deficient number, since it is larger than the sum of its proper divisors (5233123195).

10021121321213 is a wasteful number, since it uses less digits than its factorization.

10021121321213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270783.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10021121321213 its reverse (31212312112001), we get a palindrome (41233433433214).

The spelling of 10021121321213 in words is "ten trillion, twenty-one billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred thirteen".