10002100010039 has 2 divisors, whose sum is σ = 10002100010040. Its totient is φ = 10002100010038.

The previous prime is 10002100009991. The next prime is 10002100010041. The reversal of 10002100010039 is 93001000120001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002100010039 is a prime.

It is a super-2 number, since 2×10002100010039² (a number of 27 digits) contains 22 as substring.

Together with 10002100010041, 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 = 10002100009999 and 10002100010026.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002108010039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050005019 + 5001050005020.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050005020).

Almost surely, 2^{10002100010039} is an apocalyptic number.

10002100010039 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002100010039 is an equidigital number, since it uses as much as digits as its factorization.

10002100010039 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 10002100010039 in words is "ten trillion, two billion, one hundred million, ten thousand, thirty-nine".