221210220001100 has 144 divisors (see below), whose sum is σ = 529571091218400. Its totient is φ = 79532910336000.

The previous prime is 221210220001093. The next prime is 221210220001103. The reversal of 221210220001100 is 1100022012122.

It is a super-2 number, since 2×221210220001100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221210220001103) 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, 4490550470 + ... + 4490599730.

It is an arithmetic number, because the mean of its divisors is an integer number (3677577022350).

Almost surely, 2^{221210220001100} is an apocalyptic number.

221210220001100 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 221210220001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264785545609200).

221210220001100 is an abundant number, since it is smaller than the sum of its proper divisors (308360871217300).

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

221210220001100 is a wasteful number, since it uses less digits than its factorization.

221210220001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95244 (or 95237 counting only the distinct ones).

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

Adding to 221210220001100 its reverse (1100022012122), we get a palindrome (222310242013222).

The spelling of 221210220001100 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred twenty million, one thousand, one hundred".