211121120210 has 256 divisors, whose sum is σ = 522276249600. Its totient is φ = 60552334080.

The previous prime is 211121120209. The next prime is 211121120219. The reversal of 211121120210 is 12021121112.

211121120210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (211121120219) 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 127 ways as a sum of consecutive naturals, for example, 256525859 + ... + 256526681.

It is an arithmetic number, because the mean of its divisors is an integer number (2040141600).

Almost surely, 2^211121120210 is an apocalyptic number.

211121120210 is an abundant number, since it is smaller than the sum of its proper divisors (311155129390).

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

211121120210 is a wasteful number, since it uses less digits than its factorization.

211121120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211121120210 its reverse (12021121112), we get a palindrome (223142241322).

The spelling of 211121120210 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, two hundred ten".