200022022102100 has 144 divisors (see below), whose sum is σ = 484625797963776. Its totient is φ = 71033959920000.

The previous prime is 200022022102093. The next prime is 200022022102109. The reversal of 200022022102100 is 1201220220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200022022102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19759025 + ... + 28115175.

It is an arithmetic number, because the mean of its divisors is an integer number (3365456930304).

Almost surely, 2^{200022022102100} is an apocalyptic number.

200022022102100 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 200022022102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242312898981888).

200022022102100 is an abundant number, since it is smaller than the sum of its proper divisors (284603775861676).

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

200022022102100 is a wasteful number, since it uses less digits than its factorization.

200022022102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356686 (or 8356679 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200022022102100 its reverse (1201220220002), we get a palindrome (201223242322102).

The spelling of 200022022102100 in words is "two hundred trillion, twenty-two billion, twenty-two million, one hundred two thousand, one hundred".