12122121020100 has 864 divisors, whose sum is σ = 44362303130880. Its totient is φ = 2540471592960.

The previous prime is 12122121020081. The next prime is 12122121020129. The reversal of 12122121020100 is 102012122121.

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 12122121020100.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11339682366 + ... + 11339683434.

Almost surely, 2^{12122121020100} is an apocalyptic number.

12122121020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122121020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22181151565440).

12122121020100 is an abundant number, since it is smaller than the sum of its proper divisors (32240182110780).

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

12122121020100 is a wasteful number, since it uses less digits than its factorization.

12122121020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1272 counting only the distinct ones).

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

Adding to 12122121020100 its reverse (102012122121), we get a palindrome (12224133142221).

The spelling of 12122121020100 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, twenty thousand, one hundred".