201221110121100 has 72 divisors (see below), whose sum is σ = 582203247055248. Its totient is φ = 53658639955200.

The previous prime is 201221110121051. The next prime is 201221110121149. The reversal of 201221110121100 is 1121011122102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201221110121051) and next prime (201221110121149).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201221110121100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50192022 + ... + 54052578.

Almost surely, 2^{201221110121100} is an apocalyptic number.

201221110121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221110121100 is an abundant number, since it is smaller than the sum of its proper divisors (380982136934148).

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

201221110121100 is a wasteful number, since it uses less digits than its factorization.

201221110121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034315 (or 4034308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201221110121100 its reverse (1121011122102), we get a palindrome (202342121243202).

The spelling of 201221110121100 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, one hundred".