211021202120112 has 60 divisors (see below), whose sum is σ = 606527531784720. Its totient is φ = 68439308793984.

The previous prime is 211021202120081. The next prime is 211021202120129.

211021202120112 is a `hidden beast` number, since 211 + 0 + 21 + 202 + 120 + 112 = 666.

211021202120112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211021202120112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19803035412 + ... + 19803046067.

It is an arithmetic number, because the mean of its divisors is an integer number (10108792196412).

Almost surely, 2^{211021202120112} is an apocalyptic number.

It is an amenable number.

211021202120112 is an abundant number, since it is smaller than the sum of its proper divisors (395506329664608).

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

211021202120112 is a wasteful number, since it uses less digits than its factorization.

211021202120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39606081530 (or 39606081521 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 21102120 and 2120112, that added together give a palindrome (23222232).

The spelling of 211021202120112 in words is "two hundred eleven trillion, twenty-one billion, two hundred two million, one hundred twenty thousand, one hundred twelve".