1001010221113 has 16 divisors (see below), whose sum is σ = 1148744862720. Its totient is φ = 854463949200.

The previous prime is 1001010221089. The next prime is 1001010221119. The reversal of 1001010221113 is 3111220101001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001010221113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001010221093 and 1001010221102.

It is not an unprimeable number, because it can be changed into a prime (1001010221119) 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 15 ways as a sum of consecutive naturals, for example, 2164378 + ... + 2585836.

It is an arithmetic number, because the mean of its divisors is an integer number (71796553920).

Almost surely, 2^{1001010221113} is an apocalyptic number.

It is an amenable number.

1001010221113 is a deficient number, since it is larger than the sum of its proper divisors (147734641607).

1001010221113 is a wasteful number, since it uses less digits than its factorization.

1001010221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422868.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1001010221113 its reverse (3111220101001), we get a palindrome (4112230322114).

The spelling of 1001010221113 in words is "one trillion, one billion, ten million, two hundred twenty-one thousand, one hundred thirteen".