12121120121100 has 36 divisors (see below), whose sum is σ = 35070440884584. Its totient is φ = 3232298698880.

The previous prime is 12121120121051. The next prime is 12121120121129. The reversal of 12121120121100 is 112102112121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12121120121100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20201866569 + ... + 20201867168.

Almost surely, 2^{12121120121100} is an apocalyptic number.

12121120121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121120121100 is an abundant number, since it is smaller than the sum of its proper divisors (22949320763484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12121120121100 is a wasteful number, since it uses less digits than its factorization.

12121120121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40403733754 (or 40403733747 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12121120121100 its reverse (112102112121), we get a palindrome (12233222233221).

The spelling of 12121120121100 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".