2202000000100 has 72 divisors (see below), whose sum is σ = 4887419685120. Its totient is φ = 860865751680.

The previous prime is 2202000000059. The next prime is 2202000000103. The reversal of 2202000000100 is 10000002022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2202000000103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57972 + ... + 2099371.

It is an arithmetic number, because the mean of its divisors is an integer number (67880828960).

Almost surely, 2^{2202000000100} is an apocalyptic number.

2202000000100 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 2202000000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443709842560).

2202000000100 is an abundant number, since it is smaller than the sum of its proper divisors (2685419685020).

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

2202000000100 is a wasteful number, since it uses less digits than its factorization.

2202000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157589 (or 2157582 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2202000000100 its reverse (10000002022), we get a palindrome (2212000002122).

The spelling of 2202000000100 in words is "two trillion, two hundred two billion, one hundred", and thus it is an aban number.