10011221200 has 60 divisors (see below), whose sum is σ = 24120434988. Its totient is φ = 3993088000.

The previous prime is 10011221191. The next prime is 10011221203. The reversal of 10011221200 is 212211001.

It can be written as a sum of positive squares in 6 ways, for example, as 111767184 + 9899454016 = 10572^2 + 99496^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105750 + ... + 176650.

Almost surely, 2^10011221200 is an apocalyptic number.

10011221200 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 10011221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060217494).

10011221200 is an abundant number, since it is smaller than the sum of its proper divisors (14109213788).

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

10011221200 is a wasteful number, since it uses less digits than its factorization.

10011221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71272 (or 71261 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10011221200 its reverse (212211001), we get a palindrome (10223432201).

The spelling of 10011221200 in words is "ten billion, eleven million, two hundred twenty-one thousand, two hundred".