202200112100 has 144 divisors (see below), whose sum is σ = 516394032000. Its totient is φ = 68688466560.

The previous prime is 202200112067. The next prime is 202200112117. The reversal of 202200112100 is 1211002202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3711659 + ... + 3765741.

Almost surely, 2^202200112100 is an apocalyptic number.

202200112100 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 202200112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258197016000).

202200112100 is an abundant number, since it is smaller than the sum of its proper divisors (314193919900).

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

202200112100 is a wasteful number, since it uses less digits than its factorization.

202200112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54227 (or 54206 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202200112100 its reverse (1211002202), we get a palindrome (203411114302).

The spelling of 202200112100 in words is "two hundred two billion, two hundred million, one hundred twelve thousand, one hundred".