12100002101 has 16 divisors (see below), whose sum is σ = 13340111616. Its totient is φ = 10883400000.

The previous prime is 12100002011. The next prime is 12100002121. The reversal of 12100002101 is 10120000121.

12100002101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12100002101 - 2³⁰ = 11026260277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100002121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2075771 + ... + 2081591.

It is an arithmetic number, because the mean of its divisors is an integer number (833756976).

Almost surely, 2^12100002101 is an apocalyptic number.

12100002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100002101 is a deficient number, since it is larger than the sum of its proper divisors (1240109515).

12100002101 is a wasteful number, since it uses less digits than its factorization.

12100002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12100002101 its reverse (10120000121), we get a palindrome (22220002222).

The spelling of 12100002101 in words is "twelve billion, one hundred million, two thousand, one hundred one".