10033120100 has 36 divisors (see below), whose sum is σ = 21810257700. Its totient is φ = 4006172160.

The previous prime is 10033120091. The next prime is 10033120151. The reversal of 10033120100 is 102133001.

It can be written as a sum of positive squares in 6 ways, for example, as 2536331044 + 7496789056 = 50362^2 + 86584^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31265 + ... + 145064.

Almost surely, 2^10033120100 is an apocalyptic number.

10033120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033120100 is an abundant number, since it is smaller than the sum of its proper divisors (11777137600).

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

10033120100 is a wasteful number, since it uses less digits than its factorization.

10033120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176912 (or 176905 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10033120100 its reverse (102133001), we get a palindrome (10135253101).

The spelling of 10033120100 in words is "ten billion, thirty-three million, one hundred twenty thousand, one hundred".