3800002100333 has 2 divisors, whose sum is σ = 3800002100334. Its totient is φ = 3800002100332.

The previous prime is 3800002100309. The next prime is 3800002100341. The reversal of 3800002100333 is 3330012000083.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3790193772964 + 9808327369 = 1946842^2 + 99037^2 .

It is an emirp because it is prime and its reverse (3330012000083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3800002100333 - 2⁶ = 3800002100269 is a prime.

It is a super-2 number, since 2×3800002100333² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3800002100299 and 3800002100308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3800002100033) 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, 1900001050166 + 1900001050167.

It is an arithmetic number, because the mean of its divisors is an integer number (1900001050167).

Almost surely, 2^{3800002100333} is an apocalyptic number.

It is an amenable number.

3800002100333 is a deficient number, since it is larger than the sum of its proper divisors (1).

3800002100333 is an equidigital number, since it uses as much as digits as its factorization.

3800002100333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

The spelling of 3800002100333 in words is "three trillion, eight hundred billion, two million, one hundred thousand, three hundred thirty-three".