1001000112221 has 8 divisors (see below), whose sum is σ = 1036543668600. Its totient is φ = 965524976640.

The previous prime is 1001000112181. The next prime is 1001000112239. The reversal of 1001000112221 is 1222110001001.

It can be written as a sum of positive squares in 4 ways, for example, as 670084996 + 1000330027225 = 25886^2 + 1000165^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001000112221 - 2²² = 1000995917917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000112271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17075420 + ... + 17133941.

It is an arithmetic number, because the mean of its divisors is an integer number (129567958575).

Almost surely, 2^{1001000112221} is an apocalyptic number.

It is an amenable number.

1001000112221 is a deficient number, since it is larger than the sum of its proper divisors (35543556379).

1001000112221 is a wasteful number, since it uses less digits than its factorization.

1001000112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34210399.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001000112221 its reverse (1222110001001), we get a palindrome (2223110113222).

The spelling of 1001000112221 in words is "one trillion, one billion, one hundred twelve thousand, two hundred twenty-one".