10212201111112 has 256 divisors, whose sum is σ = 25794236160000. Its totient is φ = 3660570593280.

The previous prime is 10212201111061. The next prime is 10212201111139. The reversal of 10212201111112 is 21111110221201.

10212201111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4743241428 + ... + 4743243580.

It is an arithmetic number, because the mean of its divisors is an integer number (100758735000).

Almost surely, 2^{10212201111112} 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 10212201111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897118080000).

10212201111112 is an abundant number, since it is smaller than the sum of its proper divisors (15582035048888).

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

10212201111112 is a wasteful number, since it uses less digits than its factorization.

10212201111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3872 counting only the distinct ones).

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

Adding to 10212201111112 its reverse (21111110221201), we get a palindrome (31323311332313).

The spelling of 10212201111112 in words is "ten trillion, two hundred twelve billion, two hundred one million, one hundred eleven thousand, one hundred twelve".