10112120221112 has 128 divisors (see below), whose sum is σ = 24142812220800. Its totient is φ = 3862058876928.

The previous prime is 10112120221069. The next prime is 10112120221153. The reversal of 10112120221112 is 21112202121101.

10112120221112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284086388 + ... + 284121980.

It is an arithmetic number, because the mean of its divisors is an integer number (188615720475).

Almost surely, 2^{10112120221112} 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 10112120221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12071406110400).

10112120221112 is an abundant number, since it is smaller than the sum of its proper divisors (14030691999688).

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

10112120221112 is a wasteful number, since it uses less digits than its factorization.

10112120221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49105 (or 49101 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10112120221112 its reverse (21112202121101), we get a palindrome (31224322342213).

The spelling of 10112120221112 in words is "ten trillion, one hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twelve".