221001220111100 has 576 divisors, whose sum is σ = 578931821325312. Its totient is φ = 72170486784000.

The previous prime is 221001220111093. The next prime is 221001220111121. The reversal of 221001220111100 is 1111022100122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39177664280 + ... + 39177669920.

Almost surely, 2^{221001220111100} is an apocalyptic number.

221001220111100 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 221001220111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289465910662656).

221001220111100 is an abundant number, since it is smaller than the sum of its proper divisors (357930601214212).

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

221001220111100 is a wasteful number, since it uses less digits than its factorization.

221001220111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6239 counting only the distinct ones).

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

Adding to 221001220111100 its reverse (1111022100122), we get a palindrome (222112242211222).

The spelling of 221001220111100 in words is "two hundred twenty-one trillion, one billion, two hundred twenty million, one hundred eleven thousand, one hundred".