12122121002100 has 72 divisors (see below), whose sum is σ = 37136474238528. Its totient is φ = 3042414681600.

The previous prime is 12122121002087. The next prime is 12122121002119. The reversal of 12122121002100 is 120012122121.

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 12122121002100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1188438136 + ... + 1188448335.

It is an arithmetic number, because the mean of its divisors is an integer number (515784364424).

Almost surely, 2^{12122121002100} is an apocalyptic number.

12122121002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122121002100 is an abundant number, since it is smaller than the sum of its proper divisors (25014353236428).

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

12122121002100 is a wasteful number, since it uses less digits than its factorization.

12122121002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376886505 (or 2376886498 counting only the distinct ones).

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

Adding to 12122121002100 its reverse (120012122121), we get a palindrome (12242133124221).

The spelling of 12122121002100 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, two thousand, one hundred".