101112122010112 has 80 divisors (see below), whose sum is σ = 208368029878272. Its totient is φ = 48990494003200.

The previous prime is 101112122010019. The next prime is 101112122010121. The reversal of 101112122010112 is 211010221211101.

It is a super-2 number, since 2×101112122010112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 18370528 + ... + 23231455.

Almost surely, 2^{101112122010112} is an apocalyptic number.

It is an amenable number.

101112122010112 is an abundant number, since it is smaller than the sum of its proper divisors (107255907868160).

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

101112122010112 is an equidigital number, since it uses as much as digits as its factorization.

101112122010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41602149 (or 41602133 counting only the distinct ones).

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

Adding to 101112122010112 its reverse (211010221211101), we get a palindrome (312122343221213).

The spelling of 101112122010112 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-two million, ten thousand, one hundred twelve".