1000223321121 has 96 divisors (see below), whose sum is σ = 1559585664000. Its totient is φ = 616440513024.

The previous prime is 1000223321093. The next prime is 1000223321143. The reversal of 1000223321121 is 1211233220001.

1000223321121 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 223 + 321 + 121 = 666.

It is not a de Polignac number, because 1000223321121 - 2¹⁷ = 1000223190049 is a prime.

It is a super-2 number, since 2×1000223321121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000223321094 and 1000223321103.

It is not an unprimeable number, because it can be changed into a prime (1000223321021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215609520 + ... + 215614158.

It is an arithmetic number, because the mean of its divisors is an integer number (16245684000).

Almost surely, 2^{1000223321121} is an apocalyptic number.

It is an amenable number.

1000223321121 is a deficient number, since it is larger than the sum of its proper divisors (559362342879).

1000223321121 is a wasteful number, since it uses less digits than its factorization.

1000223321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1000223321121 its reverse (1211233220001), we get a palindrome (2211456541122).

The spelling of 1000223321121 in words is "one trillion, two hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty-one".