221122001100 has 864 divisors, whose sum is σ = 898291005696. Its totient is φ = 41252198400.

The previous prime is 221122001071. The next prime is 221122001101. The reversal of 221122001100 is 1100221122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (221122001101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77776279 + ... + 77779121.

It is an arithmetic number, because the mean of its divisors is an integer number (1039688664).

Almost surely, 2^221122001100 is an apocalyptic number.

221122001100 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 221122001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449145502848).

221122001100 is an abundant number, since it is smaller than the sum of its proper divisors (677169004596).

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

221122001100 is a wasteful number, since it uses less digits than its factorization.

221122001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221122001100 its reverse (1100221122), we get a palindrome (222222222222).

The spelling of 221122001100 in words is "two hundred twenty-one billion, one hundred twenty-two million, one thousand, one hundred".