2000110000033 has 2 divisors, whose sum is σ = 2000110000034. Its totient is φ = 2000110000032.

The previous prime is 2000110000001. The next prime is 2000110000039. The reversal of 2000110000033 is 3300000110002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1257948425889 + 742161574144 = 1121583^2 + 861488^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000110000033 - 2⁵ = 2000110000001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000109999974 and 2000110000019.

It is not a weakly prime, because it can be changed into another prime (2000110000039) 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, 1000055000016 + 1000055000017.

It is an arithmetic number, because the mean of its divisors is an integer number (1000055000017).

Almost surely, 2^{2000110000033} is an apocalyptic number.

It is an amenable number.

2000110000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000110000033 is an equidigital number, since it uses as much as digits as its factorization.

2000110000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 2000110000033 its reverse (3300000110002), we get a palindrome (5300110110035).

The spelling of 2000110000033 in words is "two trillion, one hundred ten million, thirty-three", and thus it is an aban number.