221001110221100 has 144 divisors (see below), whose sum is σ = 534318637418496. Its totient is φ = 78651596352000.

The previous prime is 221001110221097. The next prime is 221001110221109. The reversal of 221001110221100 is 1122011100122.

It is a super-3 number, since 3×221001110221100³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221001110221109) 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, 2340049880 + ... + 2340144320.

It is an arithmetic number, because the mean of its divisors is an integer number (3710546093184).

Almost surely, 2^{221001110221100} is an apocalyptic number.

221001110221100 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 221001110221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267159318709248).

221001110221100 is an abundant number, since it is smaller than the sum of its proper divisors (313317527197396).

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

221001110221100 is a wasteful number, since it uses less digits than its factorization.

221001110221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139776 (or 139769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221001110221100 its reverse (1122011100122), we get a palindrome (222123121321222).

The spelling of 221001110221100 in words is "two hundred twenty-one trillion, one billion, one hundred ten million, two hundred twenty-one thousand, one hundred".