212101011011112 has 128 divisors (see below), whose sum is σ = 558800308915200. Its totient is φ = 66902514029568.

The previous prime is 212101011011101. The next prime is 212101011011119. The reversal of 212101011011112 is 211110110101212.

It is a junction number, because it is equal to n+sod(n) for n = 212101011011091 and 212101011011100.

It is not an unprimeable number, because it can be changed into a prime (212101011011119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4095616083 + ... + 4095667869.

It is an arithmetic number, because the mean of its divisors is an integer number (4365627413400).

Almost surely, 2^{212101011011112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212101011011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279400154457600).

212101011011112 is an abundant number, since it is smaller than the sum of its proper divisors (346699297904088).

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

212101011011112 is a wasteful number, since it uses less digits than its factorization.

212101011011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61935 (or 61931 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 212101011011112 its reverse (211110110101212), we get a palindrome (423211121112324).

The spelling of 212101011011112 in words is "two hundred twelve trillion, one hundred one billion, eleven million, eleven thousand, one hundred twelve".