1001122221113 has 12 divisors (see below), whose sum is σ = 1171544234112. Its totient is φ = 852966402120.

The previous prime is 1001122221091. The next prime is 1001122221119. The reversal of 1001122221113 is 3111222211001.

It is a happy number.

It is not a de Polignac number, because 1001122221113 - 2¹⁶ = 1001122155577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001122221091 and 1001122221100.

It is not an unprimeable number, because it can be changed into a prime (1001122221119) 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 11 ways as a sum of consecutive naturals, for example, 61162673 + ... + 61179038.

It is an arithmetic number, because the mean of its divisors is an integer number (97628686176).

Almost surely, 2^{1001122221113} is an apocalyptic number.

It is an amenable number.

1001122221113 is a deficient number, since it is larger than the sum of its proper divisors (170422012999).

1001122221113 is a wasteful number, since it uses less digits than its factorization.

1001122221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122341892 (or 122341885 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1001122221113 its reverse (3111222211001), we get a palindrome (4112344432114).

The spelling of 1001122221113 in words is "one trillion, one billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred thirteen".