201210112010120 has 96 divisors (see below), whose sum is σ = 467821406908800. Its totient is φ = 77883856007040.

The previous prime is 201210112010113. The next prime is 201210112010129. The reversal of 201210112010120 is 21010211012102.

It is a junction number, because it is equal to n+sod(n) for n = 201210112010095 and 201210112010104.

It is not an unprimeable number, because it can be changed into a prime (201210112010129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829683041 + ... + 829925519.

It is an arithmetic number, because the mean of its divisors is an integer number (4873139655300).

Almost surely, 2^{201210112010120} is an apocalyptic number.

201210112010120 is a gapful number since it is divisible by the number (20) 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 201210112010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233910703454400).

201210112010120 is an abundant number, since it is smaller than the sum of its proper divisors (266611294898680).

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

201210112010120 is a wasteful number, since it uses less digits than its factorization.

201210112010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264139 (or 264104 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201210112010120 its reverse (21010211012102), we get a palindrome (222220323022222).

The spelling of 201210112010120 in words is "two hundred one trillion, two hundred ten billion, one hundred twelve million, ten thousand, one hundred twenty".