10002120000011 has 2 divisors, whose sum is σ = 10002120000012. Its totient is φ = 10002120000010.

The previous prime is 10002120000001. The next prime is 10002120000031. The reversal of 10002120000011 is 11000002120001.

It is a weak prime.

It is an emirp because it is prime and its reverse (11000002120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002120000011 - 2⁴² = 5604073488907 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002120000001) 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 as a sum of consecutive naturals, namely, 5001060000005 + 5001060000006.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060000006).

Almost surely, 2^{10002120000011} is an apocalyptic number.

10002120000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120000011 is an equidigital number, since it uses as much as digits as its factorization.

10002120000011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10002120000011 its reverse (11000002120001), we get a palindrome (21002122120012).

The spelling of 10002120000011 in words is "ten trillion, two billion, one hundred twenty million, eleven", and thus it is an aban number.