10112012120112 has 60 divisors (see below), whose sum is σ = 30387628265976. Its totient is φ = 2889146319360.

The previous prime is 10112012120099. The next prime is 10112012120113. The reversal of 10112012120112 is 21102121021101.

It is a happy number.

It is a super-2 number, since 2×10112012120112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112012120091 and 10112012120100.

It is not an unprimeable number, because it can be changed into a prime (10112012120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2149660089 + ... + 2149664792.

Almost surely, 2^{10112012120112} is an apocalyptic number.

10112012120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112012120112 is an abundant number, since it is smaller than the sum of its proper divisors (20275616145864).

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

10112012120112 is a wasteful number, since it uses less digits than its factorization.

10112012120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299324906 (or 4299324893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10112012120112 its reverse (21102121021101), we get a palindrome (31214133141213).

It can be divided in two parts, 1011201 and 2120112, that added together give a palindrome (3131313).

The spelling of 10112012120112 in words is "ten trillion, one hundred twelve billion, twelve million, one hundred twenty thousand, one hundred twelve".