12221100221121 has 96 divisors (see below), whose sum is σ = 21313413488640. Its totient is φ = 6856154474400.

The previous prime is 12221100221101. The next prime is 12221100221131. The reversal of 12221100221121 is 12112200112221.

12221100221121 is a `hidden beast` number, since 1 + 2 + 221 + 100 + 221 + 121 = 666.

It is not a de Polignac number, because 12221100221121 - 2¹³ = 12221100212929 is a prime.

It is a super-2 number, since 2×12221100221121² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12221100221094 and 12221100221103.

It is not an unprimeable number, because it can be changed into a prime (12221100221101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3615900 + ... + 6125106.

It is an arithmetic number, because the mean of its divisors is an integer number (222014723840).

Almost surely, 2^{12221100221121} is an apocalyptic number.

12221100221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221100221121 is a deficient number, since it is larger than the sum of its proper divisors (9092313267519).

12221100221121 is a wasteful number, since it uses less digits than its factorization.

12221100221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509304 (or 2509275 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221100221121 its reverse (12112200112221), we get a palindrome (24333300333342).

The spelling of 12221100221121 in words is "twelve trillion, two hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-one".