12120002100001 has 8 divisors (see below), whose sum is σ = 12137479616808. Its totient is φ = 12102525120000.

The previous prime is 12120002099957. The next prime is 12120002100083. The reversal of 12120002100001 is 10000120002121.

12120002100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2467789646400 + 9652212453601 = 1570920^2 + 3106801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12120002100001 - 2⁷ = 12120002099873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12120002200001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76204081 + ... + 76362961.

It is an arithmetic number, because the mean of its divisors is an integer number (1517184952101).

Almost surely, 2^{12120002100001} is an apocalyptic number.

It is an amenable number.

12120002100001 is a deficient number, since it is larger than the sum of its proper divisors (17477516807).

12120002100001 is a wasteful number, since it uses less digits than its factorization.

12120002100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268403.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12120002100001 its reverse (10000120002121), we get a palindrome (22120122102122).

The spelling of 12120002100001 in words is "twelve trillion, one hundred twenty billion, two million, one hundred thousand, one".