10031221200 has 720 divisors, whose sum is σ = 43951311936. Its totient is φ = 1922457600.

The previous prime is 10031221199. The next prime is 10031221261. The reversal of 10031221200 is 212213001.

It is a super-3 number, since 3×10031221200³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8407804 + ... + 8408996.

Almost surely, 2^10031221200 is an apocalyptic number.

10031221200 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 10031221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21975655968).

10031221200 is an abundant number, since it is smaller than the sum of its proper divisors (33920090736).

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

10031221200 is a wasteful number, since it uses less digits than its factorization.

10031221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10031221200 its reverse (212213001), we get a palindrome (10243434201).

The spelling of 10031221200 in words is "ten billion, thirty-one million, two hundred twenty-one thousand, two hundred".