202200010100 has 144 divisors (see below), whose sum is σ = 486289500480. Its totient is φ = 72362572800.

The previous prime is 202200010093. The next prime is 202200010109. The reversal of 202200010100 is 1010002202.

202200010100 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 (202200010109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24555584 + ... + 24563816.

It is an arithmetic number, because the mean of its divisors is an integer number (3377010420).

Almost surely, 2^202200010100 is an apocalyptic number.

202200010100 is a gapful number since it is divisible by the number (20) 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 202200010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243144750240).

202200010100 is an abundant number, since it is smaller than the sum of its proper divisors (284089490380).

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

202200010100 is a wasteful number, since it uses less digits than its factorization.

202200010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8610 (or 8603 counting only the distinct ones).

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

Adding to 202200010100 its reverse (1010002202), we get a palindrome (203210012302).

The spelling of 202200010100 in words is "two hundred two billion, two hundred million, ten thousand, one hundred".