210101112222112 has 192 divisors, whose sum is σ = 438382264320000. Its totient is φ = 98844352773120.

The previous prime is 210101112222103. The next prime is 210101112222119. The reversal of 210101112222112 is 211222211101012.

It is a happy number.

210101112222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 210101112222112.

It is not an unprimeable number, because it can be changed into a prime (210101112222119) 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, 119443496689 + ... + 119443498447.

It is an arithmetic number, because the mean of its divisors is an integer number (2283240960000).

Almost surely, 2^{210101112222112} 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 210101112222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219191132160000).

210101112222112 is an abundant number, since it is smaller than the sum of its proper divisors (228281152097888).

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

210101112222112 is a wasteful number, since it uses less digits than its factorization.

210101112222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 210101112222112 its reverse (211222211101012), we get a palindrome (421323323323124).

The spelling of 210101112222112 in words is "two hundred ten trillion, one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twelve".