211002220221100 has 144 divisors (see below), whose sum is σ = 570908433021696. Its totient is φ = 65760990624000.

The previous prime is 211002220221071. The next prime is 211002220221101. The reversal of 211002220221100 is 1122022200112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (211002220221101) 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, 84477774 + ... + 86939626.

It is an arithmetic number, because the mean of its divisors is an integer number (3964641895984).

Almost surely, 2^{211002220221100} is an apocalyptic number.

211002220221100 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 211002220221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285454216510848).

211002220221100 is an abundant number, since it is smaller than the sum of its proper divisors (359906212800596).

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

211002220221100 is a wasteful number, since it uses less digits than its factorization.

211002220221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473016 (or 2473009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211002220221100 its reverse (1122022200112), we get a palindrome (212124242421212).

The spelling of 211002220221100 in words is "two hundred eleven trillion, two billion, two hundred twenty million, two hundred twenty-one thousand, one hundred".