10112010111112 has 192 divisors, whose sum is σ = 24528554749440. Its totient is φ = 3869694259200.

The previous prime is 10112010111059. The next prime is 10112010111113. The reversal of 10112010111112 is 21111101021101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10112010111092 and 10112010111101.

It is not an unprimeable number, because it can be changed into a prime (10112010111113) 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, 419730187 + ... + 419754277.

It is an arithmetic number, because the mean of its divisors is an integer number (127752889320).

Almost surely, 2^{10112010111112} 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 10112010111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12264277374720).

10112010111112 is an abundant number, since it is smaller than the sum of its proper divisors (14416544638328).

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

10112010111112 is a wasteful number, since it uses less digits than its factorization.

10112010111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26812 (or 26801 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10112010111112 its reverse (21111101021101), we get a palindrome (31223111132213).

The spelling of 10112010111112 in words is "ten trillion, one hundred twelve billion, ten million, one hundred eleven thousand, one hundred twelve".