102002033 has 16 divisors (see below), whose sum is σ = 122843136. Its totient is φ = 82803600.

The previous prime is 102002003. The next prime is 102002071. The reversal of 102002033 is 330200201.

It is a cyclic number.

It is not a de Polignac number, because 102002033 - 2⁸ = 102001777 is a prime.

It is a super-2 number, since 2×102002033² = 20808829472266178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13508 + ... + 19658.

It is an arithmetic number, because the mean of its divisors is an integer number (7677696).

Almost surely, 2^102002033 is an apocalyptic number.

It is an amenable number.

102002033 is a deficient number, since it is larger than the sum of its proper divisors (20841103).

102002033 is a wasteful number, since it uses less digits than its factorization.

102002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 102002033 is about 10099.6055863583. The cubic root of 102002033 is about 467.2359770124.

Adding to 102002033 its reverse (330200201), we get a palindrome (432202234).

The spelling of 102002033 in words is "one hundred two million, two thousand, thirty-three".