10002120113021 has 2 divisors, whose sum is σ = 10002120113022. Its totient is φ = 10002120113020.

The previous prime is 10002120112991. The next prime is 10002120113023. The reversal of 10002120113021 is 12031102120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9516694387396 + 485425725625 = 3084914^2 + 696725^2 .

It is an emirp because it is prime and its reverse (12031102120001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002120113021 is a prime.

Together with 10002120113023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002120112987 and 10002120113005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002120113023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060056510 + 5001060056511.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060056511).

Almost surely, 2^{10002120113021} is an apocalyptic number.

It is an amenable number.

10002120113021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120113021 is an equidigital number, since it uses as much as digits as its factorization.

10002120113021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10002120113021 its reverse (12031102120001), we get a palindrome (22033222233022).

The spelling of 10002120113021 in words is "ten trillion, two billion, one hundred twenty million, one hundred thirteen thousand, twenty-one".