10002211321311 has 12 divisors (see below), whose sum is σ = 15761060264040. Its totient is φ = 6061946255280.

The previous prime is 10002211321309. The next prime is 10002211321391. The reversal of 10002211321311 is 11312311220001.

10002211321311 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 22 + 11 + 321 + 311 = 666.

It is not a de Polignac number, because 10002211321311 - 2¹ = 10002211321309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002211321301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50516218696 + ... + 50516218893.

It is an arithmetic number, because the mean of its divisors is an integer number (1313421688670).

Almost surely, 2^{10002211321311} is an apocalyptic number.

10002211321311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002211321311 is a deficient number, since it is larger than the sum of its proper divisors (5758848942729).

10002211321311 is a wasteful number, since it uses less digits than its factorization.

10002211321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101032437606 (or 101032437603 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10002211321311 its reverse (11312311220001), we get a palindrome (21314522541312).

The spelling of 10002211321311 in words is "ten trillion, two billion, two hundred eleven million, three hundred twenty-one thousand, three hundred eleven".