10001001111221 has 8 divisors (see below), whose sum is σ = 10589428001880. Its totient is φ = 9412588965888.

The previous prime is 10001001111193. The next prime is 10001001111271. The reversal of 10001001111221 is 12211110010001.

It can be written as a sum of positive squares in 4 ways, for example, as 699416088721 + 9301585022500 = 836311^2 + 3049850^2 .

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 10001001111221 - 2¹⁴ = 10001001094837 is a prime.

It is a super-2 number, since 2×10001001111221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001111271) 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, 2274476 + ... + 5017493.

It is an arithmetic number, because the mean of its divisors is an integer number (1323678500235).

Almost surely, 2^{10001001111221} is an apocalyptic number.

It is an amenable number.

10001001111221 is a deficient number, since it is larger than the sum of its proper divisors (588426890659).

10001001111221 is an equidigital number, since it uses as much as digits as its factorization.

10001001111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372663.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001001111221 its reverse (12211110010001), we get a palindrome (22212111121222).

The spelling of 10001001111221 in words is "ten trillion, one billion, one million, one hundred eleven thousand, two hundred twenty-one".