201221021002100 has 144 divisors (see below), whose sum is σ = 477241704576000. Its totient is φ = 73033638720000.

The previous prime is 201221021002033. The next prime is 201221021002249. The reversal of 201221021002100 is 1200120122102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1726434626 + ... + 1726551174.

It is an arithmetic number, because the mean of its divisors is an integer number (3314178504000).

Almost surely, 2^{201221021002100} is an apocalyptic number.

201221021002100 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 201221021002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238620852288000).

201221021002100 is an abundant number, since it is smaller than the sum of its proper divisors (276020683573900).

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

201221021002100 is a wasteful number, since it uses less digits than its factorization.

201221021002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119514 (or 119507 counting only the distinct ones).

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

Adding to 201221021002100 its reverse (1200120122102), we get a palindrome (202421141124202).

The spelling of 201221021002100 in words is "two hundred one trillion, two hundred twenty-one billion, twenty-one million, two thousand, one hundred".