21121322100221 has 8 divisors (see below), whose sum is σ = 24139509458880. Its totient is φ = 18103348649088.

The previous prime is 21121322100157. The next prime is 21121322100259. The reversal of 21121322100221 is 12200122312112.

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 21121322100221 - 2⁶ = 21121322100157 is a prime.

It is a super-2 number, since 2×21121322100221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21121322100193 and 21121322100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121322100421) 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, 53265236 + ... + 53660301.

It is an arithmetic number, because the mean of its divisors is an integer number (3017438682360).

Almost surely, 2^{21121322100221} is an apocalyptic number.

It is an amenable number.

21121322100221 is a deficient number, since it is larger than the sum of its proper divisors (3018187358659).

21121322100221 is a wasteful number, since it uses less digits than its factorization.

21121322100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106953763.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 21121322100221 its reverse (12200122312112), we get a palindrome (33321444412333).

The spelling of 21121322100221 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred twenty-two million, one hundred thousand, two hundred twenty-one".