10001120211221 has 8 divisors (see below), whose sum is σ = 10530207609600. Its totient is φ = 9472304077920.

The previous prime is 10001120211211. The next prime is 10001120211239. The reversal of 10001120211221 is 12211202110001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001120211221 is a prime.

It is a super-3 number, since 3×10001120211221³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001120211196 and 10001120211205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120211211) 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 7 ways as a sum of consecutive naturals, for example, 67740581 + ... + 67888058.

It is an arithmetic number, because the mean of its divisors is an integer number (1316275951200).

Almost surely, 2^{10001120211221} is an apocalyptic number.

It is an amenable number.

10001120211221 is a deficient number, since it is larger than the sum of its proper divisors (529087398379).

10001120211221 is a wasteful number, since it uses less digits than its factorization.

10001120211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135632539.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001120211221 its reverse (12211202110001), we get a palindrome (22212322321222).

The spelling of 10001120211221 in words is "ten trillion, one billion, one hundred twenty million, two hundred eleven thousand, two hundred twenty-one".