202200221202100 has 144 divisors (see below), whose sum is σ = 491945516971776. Its totient is φ = 71489832768000.

The previous prime is 202200221202079. The next prime is 202200221202139. The reversal of 202200221202100 is 1202122002202.

It is a congruent 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, 56170470 + ... + 59661730.

It is an arithmetic number, because the mean of its divisors is an integer number (3416288312304).

Almost surely, 2^{202200221202100} is an apocalyptic number.

202200221202100 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 202200221202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245972758485888).

202200221202100 is an abundant number, since it is smaller than the sum of its proper divisors (289745295769676).

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

202200221202100 is a wasteful number, since it uses less digits than its factorization.

202200221202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492746 (or 3492739 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202200221202100 its reverse (1202122002202), we get a palindrome (203402343204302).

The spelling of 202200221202100 in words is "two hundred two trillion, two hundred billion, two hundred twenty-one million, two hundred two thousand, one hundred".