201221201112100 has 144 divisors (see below), whose sum is σ = 471360227764608. Its totient is φ = 74119900354560.

The previous prime is 201221201112049. The next prime is 201221201112109. The reversal of 201221201112100 is 1211102122102.

It is not an unprimeable number, because it can be changed into a prime (201221201112109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2632954489 + ... + 2633030911.

It is an arithmetic number, because the mean of its divisors is an integer number (3273334915032).

Almost surely, 2^{201221201112100} is an apocalyptic number.

201221201112100 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 201221201112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235680113882304).

201221201112100 is an abundant number, since it is smaller than the sum of its proper divisors (270139026652508).

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

201221201112100 is a wasteful number, since it uses less digits than its factorization.

201221201112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81254 (or 81247 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201221201112100 its reverse (1211102122102), we get a palindrome (202432303234202).

The spelling of 201221201112100 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred one million, one hundred twelve thousand, one hundred".