211110002120 has 32 divisors (see below), whose sum is σ = 475155529920. Its totient is φ = 84415907520.

The previous prime is 211110002099. The next prime is 211110002149. The reversal of 211110002120 is 21200011112.

211110002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 755972 + ... + 996851.

It is an arithmetic number, because the mean of its divisors is an integer number (14848610310).

Almost surely, 2^211110002120 is an apocalyptic number.

211110002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211110002120 is an abundant number, since it is smaller than the sum of its proper divisors (264045527800).

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

211110002120 is a wasteful number, since it uses less digits than its factorization.

211110002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755845 (or 1755841 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211110002120 its reverse (21200011112), we get a palindrome (232310013232).

The spelling of 211110002120 in words is "two hundred eleven billion, one hundred ten million, two thousand, one hundred twenty".