12010000110201 has 48 divisors (see below), whose sum is σ = 17840114602128. Its totient is φ = 7780010342400.

The previous prime is 12010000110167. The next prime is 12010000110209. The reversal of 12010000110201 is 10201100001021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 896771120400 + 11113228989801 = 946980^2 + 3333651^2 .

It is not a de Polignac number, because 12010000110201 - 2²³ = 12009991721593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12010000110209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1841738821 + ... + 1841745341.

It is an arithmetic number, because the mean of its divisors is an integer number (371669054211).

Almost surely, 2^{12010000110201} is an apocalyptic number.

It is an amenable number.

12010000110201 is a deficient number, since it is larger than the sum of its proper divisors (5830114491927).

12010000110201 is a wasteful number, since it uses less digits than its factorization.

12010000110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13002 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010000110201 its reverse (10201100001021), we get a palindrome (22211100111222).

The spelling of 12010000110201 in words is "twelve trillion, ten billion, one hundred ten thousand, two hundred one".