10011221111221 has 8 divisors (see below), whose sum is σ = 11273633157888. Its totient is φ = 8807525904000.

The previous prime is 10011221111209. The next prime is 10011221111237. The reversal of 10011221111221 is 12211112211001.

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 10011221111221 - 2⁴³ = 1215128089013 is a prime.

It is a super-2 number, since 2×10011221111221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011221111195 and 10011221111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011221111251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14679209500 + ... + 14679210181.

It is an arithmetic number, because the mean of its divisors is an integer number (1409204144736).

Almost surely, 2^{10011221111221} is an apocalyptic number.

10011221111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011221111221 is a deficient number, since it is larger than the sum of its proper divisors (1262412046667).

10011221111221 is a wasteful number, since it uses less digits than its factorization.

10011221111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29358419723.

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

Adding to 10011221111221 its reverse (12211112211001), we get a palindrome (22222333322222).

It can be divided in two parts, 1001 and 1221111221, that multiplied together give a palindrome (1222332332221).

The spelling of 10011221111221 in words is "ten trillion, eleven billion, two hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".