201210210110112 has 384 divisors, whose sum is σ = 620193380083200. Its totient is φ = 55933452288000.

The previous prime is 201210210110081. The next prime is 201210210110149. The reversal of 201210210110112 is 211011012012102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201210210110091 and 201210210110100.

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, 2685307464 + ... + 2685382392.

It is an arithmetic number, because the mean of its divisors is an integer number (1615086927300).

Almost surely, 2^{201210210110112} 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 201210210110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310096690041600).

201210210110112 is an abundant number, since it is smaller than the sum of its proper divisors (418983169973088).

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

201210210110112 is a wasteful number, since it uses less digits than its factorization.

201210210110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75720 (or 75712 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201210210110112 its reverse (211011012012102), we get a palindrome (412221222122214).

The spelling of 201210210110112 in words is "two hundred one trillion, two hundred ten billion, two hundred ten million, one hundred ten thousand, one hundred twelve".