10222111311321 has 96 divisors (see below), whose sum is σ = 17436088664064. Its totient is φ = 5186267251200.

The previous prime is 10222111311283. The next prime is 10222111311331. The reversal of 10222111311321 is 12311311122201.

It is not a de Polignac number, because 10222111311321 - 2⁶ = 10222111311257 is a prime.

It is a super-2 number, since 2×10222111311321² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10222111311331) 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 95 ways as a sum of consecutive naturals, for example, 32425960 + ... + 32739686.

It is an arithmetic number, because the mean of its divisors is an integer number (181625923584).

Almost surely, 2^{10222111311321} is an apocalyptic number.

It is an amenable number.

10222111311321 is a deficient number, since it is larger than the sum of its proper divisors (7213977352743).

10222111311321 is a wasteful number, since it uses less digits than its factorization.

10222111311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313903 (or 313862 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10222111311321 its reverse (12311311122201), we get a palindrome (22533422433522).

The spelling of 10222111311321 in words is "ten trillion, two hundred twenty-two billion, one hundred eleven million, three hundred eleven thousand, three hundred twenty-one".