10033000100 has 18 divisors (see below), whose sum is σ = 21771610434. Its totient is φ = 4013200000.

The previous prime is 10033000099. The next prime is 10033000121. The reversal of 10033000100 is 100033001.

It can be written as a sum of positive squares in 3 ways, for example, as 58583716 + 9974416384 = 7654^2 + 99872^2 .

It is a super-2 number, since 2×10033000100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50164901 + ... + 50165100.

It is an arithmetic number, because the mean of its divisors is an integer number (1209533913).

Almost surely, 2^10033000100 is an apocalyptic number.

10033000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033000100 is an abundant number, since it is smaller than the sum of its proper divisors (11738610334).

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

10033000100 is a wasteful number, since it uses less digits than its factorization.

10033000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100330015 (or 100330008 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 10033000100 its reverse (100033001), we get a palindrome (10133033101).

The spelling of 10033000100 in words is "ten billion, thirty-three million, one hundred", and thus it is an aban number.