10033021200 has 120 divisors (see below), whose sum is σ = 32177016928. Its totient is φ = 2672317440.

The previous prime is 10033021169. The next prime is 10033021217. The reversal of 10033021200 is 212033001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119939 + ... + 1128861.

Almost surely, 2^10033021200 is an apocalyptic number.

10033021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088508464).

10033021200 is an abundant number, since it is smaller than the sum of its proper divisors (22143995728).

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

10033021200 is a wasteful number, since it uses less digits than its factorization.

10033021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9870 counting only the distinct ones).

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

Adding to 10033021200 its reverse (212033001), we get a palindrome (10245054201).

It can be divided in two parts, 1003 and 3021200, that added together give a palindrome (3022203).

The spelling of 10033021200 in words is "ten billion, thirty-three million, twenty-one thousand, two hundred".