212111020101112 has 256 divisors, whose sum is σ = 449936569843200. Its totient is φ = 92935480320000.

The previous prime is 212111020100971. The next prime is 212111020101163. The reversal of 212111020101112 is 211101020111212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15911104287 + ... + 15911117617.

It is an arithmetic number, because the mean of its divisors is an integer number (1757564725950).

Almost surely, 2^{212111020101112} is an apocalyptic number.

212111020101112 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 212111020101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224968284921600).

212111020101112 is an abundant number, since it is smaller than the sum of its proper divisors (237825549742088).

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

212111020101112 is a wasteful number, since it uses less digits than its factorization.

212111020101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838 (or 13834 counting only the distinct ones).

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

Adding to 212111020101112 its reverse (211101020111212), we get a palindrome (423212040212324).

It can be divided in two parts, 2121110 and 20101112, that added together give a palindrome (22222222).

The spelling of 212111020101112 in words is "two hundred twelve trillion, one hundred eleven billion, twenty million, one hundred one thousand, one hundred twelve".