201221220010100 has 72 divisors (see below), whose sum is σ = 450842144256000. Its totient is φ = 77873661532800.

The previous prime is 201221220010073. The next prime is 201221220010117. The reversal of 201221220010100 is 1010022122102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5435501 + ... + 20784299.

It is an arithmetic number, because the mean of its divisors is an integer number (6261696448000).

Almost surely, 2^{201221220010100} is an apocalyptic number.

201221220010100 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 201221220010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225421072128000).

201221220010100 is an abundant number, since it is smaller than the sum of its proper divisors (249620924245900).

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

201221220010100 is a wasteful number, since it uses less digits than its factorization.

201221220010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15353073 (or 15353066 counting only the distinct ones).

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

Adding to 201221220010100 its reverse (1010022122102), we get a palindrome (202231242132202).

The spelling of 201221220010100 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twenty million, ten thousand, one hundred".