12002122100100 has 72 divisors (see below), whose sum is σ = 37883061766368. Its totient is φ = 2909605356800.

The previous prime is 12002122100099. The next prime is 12002122100117. The reversal of 12002122100100 is 100122120021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1818500049 + ... + 1818506648.

It is an arithmetic number, because the mean of its divisors is an integer number (526153635644).

Almost surely, 2^{12002122100100} is an apocalyptic number.

12002122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002122100100 is an abundant number, since it is smaller than the sum of its proper divisors (25880939666268).

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

12002122100100 is a wasteful number, since it uses less digits than its factorization.

12002122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637006725 (or 3637006718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12002122100100 its reverse (100122120021), we get a palindrome (12102244220121).

The spelling of 12002122100100 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred thousand, one hundred".