222211102100 has 144 divisors (see below), whose sum is σ = 557372794608. Its totient is φ = 76162498560.

The previous prime is 222211102093. The next prime is 222211102103. The reversal of 222211102100 is 1201112222.

222211102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 168667918864 + 53543183236 = 410692^2 + 231394^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222211102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1544432 + ... + 1682168.

It is an arithmetic number, because the mean of its divisors is an integer number (3870644407).

Almost surely, 2^222211102100 is an apocalyptic number.

222211102100 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 222211102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278686397304).

222211102100 is an abundant number, since it is smaller than the sum of its proper divisors (335161692508).

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

222211102100 is a wasteful number, since it uses less digits than its factorization.

222211102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137854 (or 137847 counting only the distinct ones).

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

Adding to 222211102100 its reverse (1201112222), we get a palindrome (223412214322).

The spelling of 222211102100 in words is "two hundred twenty-two billion, two hundred eleven million, one hundred two thousand, one hundred".