10003220100 has 108 divisors (see below), whose sum is σ = 32202064804. Its totient is φ = 2595421440.

The previous prime is 10003220041. The next prime is 10003220107. The reversal of 10003220100 is 102230001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 819447876 + 9183772224 = 28626^2 + 95832^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10003220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116899 + ... + 183498.

Almost surely, 2^10003220100 is an apocalyptic number.

10003220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003220100 is an abundant number, since it is smaller than the sum of its proper divisors (22198844704).

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

10003220100 is a wasteful number, since it uses less digits than its factorization.

10003220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300454 (or 300444 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10003220100 its reverse (102230001), we get a palindrome (10105450101).

Subtracting from 10003220100 its reverse (102230001), we obtain a palindrome (9900990099).

The spelling of 10003220100 in words is "ten billion, three million, two hundred twenty thousand, one hundred".