2022200020100 has 72 divisors (see below), whose sum is σ = 4731268611720. Its totient is φ = 745782727680.

The previous prime is 2022200020079. The next prime is 2022200020177. The reversal of 2022200020100 is 10200022202.

It can be written as a sum of positive squares in 12 ways, for example, as 1022396010496 + 999804009604 = 1011136^2 + 999902^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197096 + ... + 2020704.

Almost surely, 2^{2022200020100} is an apocalyptic number.

2022200020100 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 2022200020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365634305860).

2022200020100 is an abundant number, since it is smaller than the sum of its proper divisors (2709068591620).

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

2022200020100 is a wasteful number, since it uses less digits than its factorization.

2022200020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824489 (or 1824482 counting only the distinct ones).

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

Adding to 2022200020100 its reverse (10200022202), we get a palindrome (2032400042302).

The spelling of 2022200020100 in words is "two trillion, twenty-two billion, two hundred million, twenty thousand, one hundred".