21120011120221 has 8 divisors (see below), whose sum is σ = 22746190016984. Its totient is φ = 19494055460160.

The previous prime is 21120011120213. The next prime is 21120011120227. The reversal of 21120011120221 is 12202111002112.

It can be written as a sum of positive squares in 4 ways, for example, as 240722703225 + 20879288416996 = 490635^2 + 4569386^2 .

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 21120011120221 - 2³ = 21120011120213 is a prime.

It is a super-4 number, since 4×21120011120221⁴ (a number of 54 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21120011120195 and 21120011120204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120011120227) 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, 55612650 + ... + 55991131.

It is an arithmetic number, because the mean of its divisors is an integer number (2843273752123).

Almost surely, 2^{21120011120221} is an apocalyptic number.

It is an amenable number.

21120011120221 is a deficient number, since it is larger than the sum of its proper divisors (1626178896763).

21120011120221 is a wasteful number, since it uses less digits than its factorization.

21120011120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111618351.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21120011120221 its reverse (12202111002112), we get a palindrome (33322122122333).

The spelling of 21120011120221 in words is "twenty-one trillion, one hundred twenty billion, eleven million, one hundred twenty thousand, two hundred twenty-one".