12101001120209 has 24 divisors (see below), whose sum is σ = 12615246202680. Its totient is φ = 11602579802112.

The previous prime is 12101001120199. The next prime is 12101001120211. The reversal of 12101001120209 is 90202110010121.

It can be written as a sum of positive squares in 12 ways, for example, as 16534102225 + 12084467017984 = 128585^2 + 3476272^2 .

It is not a de Polignac number, because 12101001120209 - 2⁴ = 12101001120193 is a prime.

It is a super-2 number, since 2×12101001120209² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12101006120209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30589097 + ... + 30982169.

It is an arithmetic number, because the mean of its divisors is an integer number (525635258445).

Almost surely, 2^{12101001120209} is an apocalyptic number.

It is an amenable number.

12101001120209 is a deficient number, since it is larger than the sum of its proper divisors (514245082471).

12101001120209 is an equidigital number, since it uses as much as digits as its factorization.

12101001120209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393381 (or 393308 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 12101001120209 in words is "twelve trillion, one hundred one billion, one million, one hundred twenty thousand, two hundred nine".