10211002321321 has 16 divisors (see below), whose sum is σ = 10457226475344. Its totient is φ = 9966769356544.

The previous prime is 10211002321237. The next prime is 10211002321337. The reversal of 10211002321321 is 12312320011201.

It can be written as a sum of positive squares in 8 ways, for example, as 1247331585600 + 8963670735721 = 1116840^2 + 2993939^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211002321321 - 2²⁷ = 10210868103593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211002321021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198489015 + ... + 198540451.

It is an arithmetic number, because the mean of its divisors is an integer number (653576654709).

Almost surely, 2^{10211002321321} is an apocalyptic number.

It is an amenable number.

10211002321321 is a deficient number, since it is larger than the sum of its proper divisors (246224154023).

10211002321321 is a wasteful number, since it uses less digits than its factorization.

10211002321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70700.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10211002321321 its reverse (12312320011201), we get a palindrome (22523322332522).

The spelling of 10211002321321 in words is "ten trillion, two hundred eleven billion, two million, three hundred twenty-one thousand, three hundred twenty-one".