10000220200100 has 72 divisors (see below), whose sum is σ = 23371803978600. Its totient is φ = 3692063738880.

The previous prime is 10000220200079. The next prime is 10000220200127. The reversal of 10000220200100 is 100202200001.

It can be written as a sum of positive squares in 12 ways, for example, as 771614669056 + 9228605531044 = 878416^2 + 3037862^2 .

It is a super-4 number, since 4×10000220200100⁴ (a number of 53 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14680664 + ... + 15346736.

Almost surely, 2^{10000220200100} is an apocalyptic number.

10000220200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000220200100 is an abundant number, since it is smaller than the sum of its proper divisors (13371583778500).

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

10000220200100 is a wasteful number, since it uses less digits than its factorization.

10000220200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677649 (or 677642 counting only the distinct ones).

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

Adding to 10000220200100 its reverse (100202200001), we get a palindrome (10100422400101).

The spelling of 10000220200100 in words is "ten trillion, two hundred twenty million, two hundred thousand, one hundred".