201221200012100 has 72 divisors (see below), whose sum is σ = 439997311677000. Its totient is φ = 79871892433920.

The previous prime is 201221200012081. The next prime is 201221200012121. The reversal of 201221200012100 is 1210002122102.

201221200012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 28139969402944 + 173081230609156 = 5304712^2 + 13156034^2 .

It is a super-3 number, since 3×201221200012100³ (a number of 44 digits) contains 333 as substring.

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, 34989842 + ... + 40332758.

Almost surely, 2^{201221200012100} is an apocalyptic number.

201221200012100 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 201221200012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219998655838500).

201221200012100 is an abundant number, since it is smaller than the sum of its proper divisors (238776111664900).

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

201221200012100 is a wasteful number, since it uses less digits than its factorization.

201221200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5345817 (or 5345810 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201221200012100 its reverse (1210002122102), we get a palindrome (202431202134202).

The spelling of 201221200012100 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred million, twelve thousand, one hundred".