212011020102112 has 1152 divisors, whose sum is σ = 560891224954368. Its totient is φ = 77936173056000.

The previous prime is 212011020102023. The next prime is 212011020102121. The reversal of 212011020102112 is 211201020110212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 749155547923 + ... + 749155548205.

It is an arithmetic number, because the mean of its divisors is an integer number (486884743884).

Almost surely, 2^{212011020102112} is an apocalyptic number.

212011020102112 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 212011020102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280445612477184).

212011020102112 is an abundant number, since it is smaller than the sum of its proper divisors (348880204852256).

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

212011020102112 is a wasteful number, since it uses less digits than its factorization.

212011020102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212011020102112 its reverse (211201020110212), we get a palindrome (423212040212324).

It can be divided in two parts, 2120110 and 20102112, that added together give a palindrome (22222222).

The spelling of 212011020102112 in words is "two hundred twelve trillion, eleven billion, twenty million, one hundred two thousand, one hundred twelve".