221201311100 has 144 divisors (see below), whose sum is σ = 599847607296. Its totient is φ = 68784864000.

The previous prime is 221201311087. The next prime is 221201311117. The reversal of 221201311100 is 1113102122.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 3285374 + ... + 3352026.

It is an arithmetic number, because the mean of its divisors is an integer number (4165608384).

Almost surely, 2^221201311100 is an apocalyptic number.

221201311100 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 221201311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299923803648).

221201311100 is an abundant number, since it is smaller than the sum of its proper divisors (378646296196).

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

221201311100 is a wasteful number, since it uses less digits than its factorization.

221201311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67116 (or 67109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 221201311100 its reverse (1113102122), we get a palindrome (222314413222).

The spelling of 221201311100 in words is "two hundred twenty-one billion, two hundred one million, three hundred eleven thousand, one hundred".