2000100033 has 40 divisors (see below), whose sum is σ = 3161828736. Its totient is φ = 1257379200.

The previous prime is 2000099957. The next prime is 2000100097. The reversal of 2000100033 is 3300010002.

It is a happy number.

It is not a de Polignac number, because 2000100033 - 2¹⁶ = 2000034497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000099988 and 2000100024.

It is not an unprimeable number, because it can be changed into a prime (2000100733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124713 + ... + 139833.

Almost surely, 2^2000100033 is an apocalyptic number.

2000100033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2000100033 is a deficient number, since it is larger than the sum of its proper divisors (1161728703).

2000100033 is a wasteful number, since it uses less digits than its factorization.

2000100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15227 (or 15218 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2000100033 is about 44722.4779389515. The cubic root of 2000100033 is about 1259.9420551584.

Adding to 2000100033 its reverse (3300010002), we get a palindrome (5300110035).

The spelling of 2000100033 in words is "two billion, one hundred thousand, thirty-three".