220111001100 has 144 divisors (see below), whose sum is σ = 710971578240. Its totient is φ = 58417934400.

The previous prime is 220111001093. The next prime is 220111001111. The reversal of 220111001100 is 1100111022.

It is a happy number.

It is a super-3 number, since 3×220111001100³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 376519 + ... + 762881.

Almost surely, 2^220111001100 is an apocalyptic number.

220111001100 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 220111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355485789120).

220111001100 is an abundant number, since it is smaller than the sum of its proper divisors (490860577140).

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

220111001100 is a wasteful number, since it uses less digits than its factorization.

220111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386597 (or 386584 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 220111001100 its reverse (1100111022), we get a palindrome (221211112122).

The spelling of 220111001100 in words is "two hundred twenty billion, one hundred eleven million, one thousand, one hundred".