211121111222010 has 128 divisors (see below), whose sum is σ = 614298525696000. Its totient is φ = 51170207088960.

The previous prime is 211121111221967. The next prime is 211121111222011. The reversal of 211121111222010 is 10222111121112.

It is a happy number.

211121111222010 is a `hidden beast` number, since 2 + 111 + 211 + 112 + 220 + 10 = 666.

211121111222010 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 (18).

It is not an unprimeable number, because it can be changed into a prime (211121111222011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6846847 + ... + 21659213.

It is an arithmetic number, because the mean of its divisors is an integer number (4799207232000).

Almost surely, 2^{211121111222010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211121111222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307149262848000).

211121111222010 is an abundant number, since it is smaller than the sum of its proper divisors (403177414473990).

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

211121111222010 is a wasteful number, since it uses less digits than its factorization.

211121111222010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14817193 (or 14817187 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121111222010 its reverse (10222111121112), we get a palindrome (221343222343122).

The spelling of 211121111222010 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty-two thousand, ten".