12100113100121 has 8 divisors (see below), whose sum is σ = 12372924056904. Its totient is φ = 11828950548480.

The previous prime is 12100113100109. The next prime is 12100113100133. The reversal of 12100113100121 is 12100131100121.

It is an interprime number because it is at equal distance from previous prime (12100113100109) and next prime (12100113100133).

It can be written as a sum of positive squares in 4 ways, for example, as 468868867600 + 11631244232521 = 684740^2 + 3410461^2 .

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 12100113100121 - 2³⁰ = 12099039358297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12100113100096 and 12100113100105.

It is not an unprimeable number, because it can be changed into a prime (12100113100151) 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, 412086440 + ... + 412115801.

It is an arithmetic number, because the mean of its divisors is an integer number (1546615507113).

Almost surely, 2^{12100113100121} is an apocalyptic number.

It is an amenable number.

12100113100121 is a deficient number, since it is larger than the sum of its proper divisors (272810956783).

12100113100121 is an equidigital number, since it uses as much as digits as its factorization.

12100113100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824202571.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 12100113100121 its reverse (12100131100121), we get a palindrome (24200244200242).

The spelling of 12100113100121 in words is "twelve trillion, one hundred billion, one hundred thirteen million, one hundred thousand, one hundred twenty-one".