10112111210112 has 256 divisors, whose sum is σ = 27911665152000. Its totient is φ = 3241087008768.

The previous prime is 10112111210107. The next prime is 10112111210119. The reversal of 10112111210112 is 21101211121101.

It is a super-2 number, since 2×10112111210112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112111210091 and 10112111210100.

It is not an unprimeable number, because it can be changed into a prime (10112111210119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560311873 + ... + 560329919.

It is an arithmetic number, because the mean of its divisors is an integer number (109029942000).

Almost surely, 2^{10112111210112} is an apocalyptic number.

10112111210112 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 10112111210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955832576000).

10112111210112 is an abundant number, since it is smaller than the sum of its proper divisors (17799553941888).

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

10112111210112 is a wasteful number, since it uses less digits than its factorization.

10112111210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18563 (or 18551 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10112111210112 its reverse (21101211121101), we get a palindrome (31213322331213).

The spelling of 10112111210112 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".