12102011133001 has 16 divisors (see below), whose sum is σ = 12974937090048. Its totient is φ = 11258244043200.

The previous prime is 12102011132971. The next prime is 12102011133013. The reversal of 12102011133001 is 10033111020121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12102011133001 - 2¹⁷ = 12102011001929 is a prime.

It is a super-3 number, since 3×12102011133001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12102011173001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960105 + ... + 5012566.

It is an arithmetic number, because the mean of its divisors is an integer number (810933568128).

Almost surely, 2^{12102011133001} is an apocalyptic number.

It is an amenable number.

12102011133001 is a deficient number, since it is larger than the sum of its proper divisors (872925957047).

12102011133001 is a wasteful number, since it uses less digits than its factorization.

12102011133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5975112.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12102011133001 its reverse (10033111020121), we get a palindrome (22135122153122).

The spelling of 12102011133001 in words is "twelve trillion, one hundred two billion, eleven million, one hundred thirty-three thousand, one".