211020020112 has 240 divisors, whose sum is σ = 637964078400. Its totient is φ = 59583513600.

The previous prime is 211020020041. The next prime is 211020020203.

211020020112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11618014 + ... + 11636162.

It is an arithmetic number, because the mean of its divisors is an integer number (2658183660).

Almost surely, 2^211020020112 is an apocalyptic number.

211020020112 is a gapful number since it is divisible by the number (22) 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 211020020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318982039200).

211020020112 is an abundant number, since it is smaller than the sum of its proper divisors (426944058288).

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

211020020112 is a wasteful number, since it uses less digits than its factorization.

211020020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270 (or 18245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2110200 and 20112, that added together give a palindrome (2130312).

The spelling of 211020020112 in words is "two hundred eleven billion, twenty million, twenty thousand, one hundred twelve".