12002120102011 has 32 divisors (see below), whose sum is σ = 13465506152448. Its totient is φ = 10622725585920.

The previous prime is 12002120101999. The next prime is 12002120102017. The reversal of 12002120102011 is 11020102120021.

It is a cyclic number.

It is not a de Polignac number, because 12002120102011 - 2⁷ = 12002120101883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12002120101982 and 12002120102000.

It is not an unprimeable number, because it can be changed into a prime (12002120102017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37869675 + ... + 38185291.

It is an arithmetic number, because the mean of its divisors is an integer number (420797067264).

Almost surely, 2^{12002120102011} is an apocalyptic number.

12002120102011 is a deficient number, since it is larger than the sum of its proper divisors (1463386050437).

12002120102011 is a wasteful number, since it uses less digits than its factorization.

12002120102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316531.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12002120102011 its reverse (11020102120021), we get a palindrome (23022222222032).

The spelling of 12002120102011 in words is "twelve trillion, two billion, one hundred twenty million, one hundred two thousand, eleven".