1010113223112 has 256 divisors, whose sum is σ = 3376803840000. Its totient is φ = 273307115520.

The previous prime is 1010113223087. The next prime is 1010113223117. The reversal of 1010113223112 is 2113223110101.

1010113223112 is a `hidden beast` number, since 10 + 10 + 11 + 322 + 311 + 2 = 666.

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 (1010113223117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97411464 + ... + 97421832.

It is an arithmetic number, because the mean of its divisors is an integer number (13190640000).

Almost surely, 2^{1010113223112} is an apocalyptic number.

1010113223112 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 1010113223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688401920000).

1010113223112 is an abundant number, since it is smaller than the sum of its proper divisors (2366690616888).

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

1010113223112 is a wasteful number, since it uses less digits than its factorization.

1010113223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13801 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1010113223112 its reverse (2113223110101), we get a palindrome (3123336333213).

The spelling of 1010113223112 in words is "one trillion, ten billion, one hundred thirteen million, two hundred twenty-three thousand, one hundred twelve".