12200100221121 has 16 divisors (see below), whose sum is σ = 16306549384128. Its totient is φ = 8113534675200.

The previous prime is 12200100220999. The next prime is 12200100221123. The reversal of 12200100221121 is 12112200100221.

It is not a de Polignac number, because 12200100221121 - 2¹³ = 12200100212929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12200100221121.

It is not an unprimeable number, because it can be changed into a prime (12200100221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4257541 + ... + 6521261.

It is an arithmetic number, because the mean of its divisors is an integer number (1019159336508).

Almost surely, 2^{12200100221121} is an apocalyptic number.

It is an amenable number.

12200100221121 is a deficient number, since it is larger than the sum of its proper divisors (4106449163007).

12200100221121 is a wasteful number, since it uses less digits than its factorization.

12200100221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268112.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12200100221121 its reverse (12112200100221), we get a palindrome (24312300321342).

It can be divided in two parts, 12200100221 and 121, that multiplied together give a palindrome (1476212126741).

The spelling of 12200100221121 in words is "twelve trillion, two hundred billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-one".