211002002120 has 128 divisors (see below), whose sum is σ = 584467107840. Its totient is φ = 66761072640.

The previous prime is 211002002119. The next prime is 211002002149. The reversal of 211002002120 is 21200200112.

It is a happy number.

211002002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25850840 + ... + 25859000.

It is an arithmetic number, because the mean of its divisors is an integer number (4566149280).

Almost surely, 2^211002002120 is an apocalyptic number.

211002002120 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 211002002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292233553920).

211002002120 is an abundant number, since it is smaller than the sum of its proper divisors (373465105720).

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

211002002120 is a wasteful number, since it uses less digits than its factorization.

211002002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15295 (or 15291 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211002002120 its reverse (21200200112), we get a palindrome (232202202232).

The spelling of 211002002120 in words is "two hundred eleven billion, two million, two thousand, one hundred twenty".