10002219900 has 108 divisors (see below), whose sum is σ = 29173492152. Its totient is φ = 2645800320.

The previous prime is 10002219881. The next prime is 10002219901. The reversal of 10002219900 is 991220001.

10002219900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002219901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22783881 + ... + 22784319.

Almost surely, 2^10002219900 is an apocalyptic number.

10002219900 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 10002219900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586746076).

10002219900 is an abundant number, since it is smaller than the sum of its proper divisors (19171272252).

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

10002219900 is a wasteful number, since it uses less digits than its factorization.

10002219900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 10002219900 its reverse (991220001), we get a palindrome (10993439901).

The spelling of 10002219900 in words is "ten billion, two million, two hundred nineteen thousand, nine hundred".