10112221022112 has 288 divisors, whose sum is σ = 31454637439680. Its totient is φ = 3056138588160.

The previous prime is 10112221022069. The next prime is 10112221022117. The reversal of 10112221022112 is 21122012221101.

10112221022112 is a `hidden beast` number, since 101 + 122 + 210 + 221 + 12 = 666.

10112221022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10112221022117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2299797898 + ... + 2299802294.

It is an arithmetic number, because the mean of its divisors is an integer number (109217491110).

Almost surely, 2^{10112221022112} is an apocalyptic number.

10112221022112 is a gapful number since it is divisible by the number (12) 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 10112221022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727318719840).

10112221022112 is an abundant number, since it is smaller than the sum of its proper divisors (21342416417568).

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

10112221022112 is a wasteful number, since it uses less digits than its factorization.

10112221022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10112221022112 its reverse (21122012221101), we get a palindrome (31234233243213).

The spelling of 10112221022112 in words is "ten trillion, one hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".