10004002311211 has 16 divisors (see below), whose sum is σ = 10331196220800. Its totient is φ = 9680898830400.

The previous prime is 10004002311203. The next prime is 10004002311253. The reversal of 10004002311211 is 11211320040001.

It is a cyclic number.

It is not a de Polignac number, because 10004002311211 - 2³ = 10004002311203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004002111211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5413120 + ... + 7022098.

It is an arithmetic number, because the mean of its divisors is an integer number (645699763800).

Almost surely, 2^{10004002311211} is an apocalyptic number.

10004002311211 is a deficient number, since it is larger than the sum of its proper divisors (327193909589).

10004002311211 is a wasteful number, since it uses less digits than its factorization.

10004002311211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610250.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10004002311211 its reverse (11211320040001), we get a palindrome (21215322351212).

The spelling of 10004002311211 in words is "ten trillion, four billion, two million, three hundred eleven thousand, two hundred eleven".