102033200100 has 72 divisors (see below), whose sum is σ = 317924998720. Its totient is φ = 25115863680.

The previous prime is 102033200089. The next prime is 102033200123. The reversal of 102033200100 is 1002330201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13077280 + ... + 13085079.

Almost surely, 2^102033200100 is an apocalyptic number.

102033200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102033200100 is an abundant number, since it is smaller than the sum of its proper divisors (215891798620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102033200100 is a wasteful number, since it uses less digits than its factorization.

102033200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26162389 (or 26162382 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102033200100 its reverse (1002330201), we get a palindrome (103035530301).

The spelling of 102033200100 in words is "one hundred two billion, thirty-three million, two hundred thousand, one hundred".