12002013330101 has 2 divisors, whose sum is σ = 12002013330102. Its totient is φ = 12002013330100.

The previous prime is 12002013330017. The next prime is 12002013330127. The reversal of 12002013330101 is 10103331020021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9399037666225 + 2602975663876 = 3065785^2 + 1613374^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002013330101 - 2³⁴ = 11984833460917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12002013330101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002013330401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001006665050 + 6001006665051.

It is an arithmetic number, because the mean of its divisors is an integer number (6001006665051).

Almost surely, 2^{12002013330101} is an apocalyptic number.

It is an amenable number.

12002013330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002013330101 is an equidigital number, since it uses as much as digits as its factorization.

12002013330101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12002013330101 its reverse (10103331020021), we get a palindrome (22105344350122).

The spelling of 12002013330101 in words is "twelve trillion, two billion, thirteen million, three hundred thirty thousand, one hundred one".