12100112121201 has 64 divisors (see below), whose sum is σ = 18811268044800. Its totient is φ = 6854558183424.

The previous prime is 12100112121179. The next prime is 12100112121283. The reversal of 12100112121201 is 10212121100121.

It is a happy number.

It is not a de Polignac number, because 12100112121201 - 2¹³ = 12100112113009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12100112121001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5165740 + ... + 7133378.

It is an arithmetic number, because the mean of its divisors is an integer number (293926063200).

Almost surely, 2^{12100112121201} is an apocalyptic number.

It is an amenable number.

12100112121201 is a deficient number, since it is larger than the sum of its proper divisors (6711155923599).

12100112121201 is a wasteful number, since it uses less digits than its factorization.

12100112121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967910.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12100112121201 its reverse (10212121100121), we get a palindrome (22312233221322).

The spelling of 12100112121201 in words is "twelve trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand, two hundred one".