1010112212112 has 80 divisors (see below), whose sum is σ = 2697188112960. Its totient is φ = 325570982400.

The previous prime is 1010112212069. The next prime is 1010112212119. The reversal of 1010112212112 is 2112122110101.

It is a happy number.

It is a super-3 number, since 3×1010112212112³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010112212091 and 1010112212100.

It is not an unprimeable number, because it can be changed into a prime (1010112212119) 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 15 ways as a sum of consecutive naturals, for example, 2750839 + ... + 3096342.

It is an arithmetic number, because the mean of its divisors is an integer number (33714851412).

Almost surely, 2^{1010112212112} is an apocalyptic number.

1010112212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010112212112 is an abundant number, since it is smaller than the sum of its proper divisors (1687075900848).

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

1010112212112 is a wasteful number, since it uses less digits than its factorization.

1010112212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847312 (or 5847306 counting only the distinct ones).

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

Adding to 1010112212112 its reverse (2112122110101), we get a palindrome (3122234322213).

The spelling of 1010112212112 in words is "one trillion, ten billion, one hundred twelve million, two hundred twelve thousand, one hundred twelve".