10212012110112 has 96 divisors (see below), whose sum is σ = 27312605631360. Its totient is φ = 3340013598720.

The previous prime is 10212012110021. The next prime is 10212012110143. The reversal of 10212012110112 is 21101121021201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10212012110091 and 10212012110100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 263253 + ... + 4526955.

It is an arithmetic number, because the mean of its divisors is an integer number (284506308660).

Almost surely, 2^{10212012110112} is an apocalyptic number.

10212012110112 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 10212012110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656302815680).

10212012110112 is an abundant number, since it is smaller than the sum of its proper divisors (17100593521248).

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

10212012110112 is a wasteful number, since it uses less digits than its factorization.

10212012110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264186 (or 4264178 counting only the distinct ones).

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

Adding to 10212012110112 its reverse (21101121021201), we get a palindrome (31313133131313).

It can be divided in two parts, 1021201 and 2110112, that multiplied together give a palindrome (2154848484512).

The spelling of 10212012110112 in words is "ten trillion, two hundred twelve billion, twelve million, one hundred ten thousand, one hundred twelve".