10001221100 has 108 divisors (see below), whose sum is σ = 24434123616. Its totient is φ = 3531960960.

The previous prime is 10001221093. The next prime is 10001221103. The reversal of 10001221100 is 112210001.

It is not an unprimeable number, because it can be changed into a prime (10001221103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 680429 + ... + 694971.

Almost surely, 2^10001221100 is an apocalyptic number.

10001221100 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 10001221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217061808).

10001221100 is an abundant number, since it is smaller than the sum of its proper divisors (14432902516).

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

10001221100 is a wasteful number, since it uses less digits than its factorization.

10001221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14616 (or 14586 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001221100 its reverse (112210001), we get a palindrome (10113431101).

The spelling of 10001221100 in words is "ten billion, one million, two hundred twenty-one thousand, one hundred".