10011223101321 has 48 divisors (see below), whose sum is σ = 15997282968576. Its totient is φ = 5992980213888.

The previous prime is 10011223101301. The next prime is 10011223101337. The reversal of 10011223101321 is 12310132211001.

10011223101321 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 22 + 310 + 1 + 321 = 666.

It is not a de Polignac number, because 10011223101321 - 2⁷ = 10011223101193 is a prime.

It is a super-2 number, since 2×10011223101321² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011223101294 and 10011223101303.

It is not an unprimeable number, because it can be changed into a prime (10011223101301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20463856 + ... + 20947358.

It is an arithmetic number, because the mean of its divisors is an integer number (333276728512).

Almost surely, 2^{10011223101321} is an apocalyptic number.

It is an amenable number.

10011223101321 is a deficient number, since it is larger than the sum of its proper divisors (5986059867255).

10011223101321 is a wasteful number, since it uses less digits than its factorization.

10011223101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488342 (or 488339 counting only the distinct ones).

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

Adding to 10011223101321 its reverse (12310132211001), we get a palindrome (22321355312322).

The spelling of 10011223101321 in words is "ten trillion, eleven billion, two hundred twenty-three million, one hundred one thousand, three hundred twenty-one".