10000220202200 has 96 divisors (see below), whose sum is σ = 23773865428800. Its totient is φ = 3910254243840.

The previous prime is 10000220202191. The next prime is 10000220202221. The reversal of 10000220202200 is 220202200001.

It is a congruent number.

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, 7150952 + ... + 8434248.

It is an arithmetic number, because the mean of its divisors is an integer number (247644431550).

Almost surely, 2^{10000220202200} is an apocalyptic number.

10000220202200 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 10000220202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886932714400).

10000220202200 is an abundant number, since it is smaller than the sum of its proper divisors (13773645226600).

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

10000220202200 is a wasteful number, since it uses less digits than its factorization.

10000220202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284189 (or 1284180 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 10000220202200 its reverse (220202200001), we get a palindrome (10220422402201).

The spelling of 10000220202200 in words is "ten trillion, two hundred twenty million, two hundred two thousand, two hundred".