12101000110201 has 8 divisors (see below), whose sum is σ = 12533160990600. Its totient is φ = 11683724220784.

The previous prime is 12101000110187. The next prime is 12101000110229. The reversal of 12101000110201 is 10201100010121.

It can be written as a sum of positive squares in 4 ways, for example, as 5740335225 + 12095259774976 = 75765^2 + 3477824^2 .

It is not a de Polignac number, because 12101000110201 - 2⁹ = 12101000109689 is a prime.

It is a super-2 number, since 2×12101000110201² (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 (12101060110201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248058766 + ... + 248107543.

It is an arithmetic number, because the mean of its divisors is an integer number (1566645123825).

Almost surely, 2^{12101000110201} is an apocalyptic number.

It is an amenable number.

12101000110201 is a deficient number, since it is larger than the sum of its proper divisors (432160880399).

12101000110201 is an frugal number, since it uses more digits than its factorization.

12101000110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496166396 (or 496166338 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12101000110201 its reverse (10201100010121), we get a palindrome (22302100120322).

The spelling of 12101000110201 in words is "twelve trillion, one hundred one billion, one hundred ten thousand, two hundred one".