202100221200 has 120 divisors (see below), whose sum is σ = 648376336576. Its totient is φ = 53811648000.

The previous prime is 202100221159. The next prime is 202100221201. The reversal of 202100221200 is 2122001202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (202100221201) 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, 665805 + ... + 920595.

Almost surely, 2^202100221200 is an apocalyptic number.

202100221200 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 202100221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324188168288).

202100221200 is an abundant number, since it is smaller than the sum of its proper divisors (446276115376).

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

202100221200 is a wasteful number, since it uses less digits than its factorization.

202100221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255473 (or 255462 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202100221200 its reverse (2122001202), we get a palindrome (204222222402).

The spelling of 202100221200 in words is "two hundred two billion, one hundred million, two hundred twenty-one thousand, two hundred".