101112122112 has 36 divisors (see below), whose sum is σ = 269105702040. Its totient is φ = 33704040448.

The previous prime is 101112122101. The next prime is 101112122123. The reversal of 101112122112 is 211221211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101112122101) and next prime (101112122123).

It is a super-2 number, since 2×101112122112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112122091 and 101112122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65827437 + ... + 65828972.

It is an arithmetic number, because the mean of its divisors is an integer number (7475158390).

Almost surely, 2^101112122112 is an apocalyptic number.

101112122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112122112 is an abundant number, since it is smaller than the sum of its proper divisors (167993579928).

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

101112122112 is an equidigital number, since it uses as much as digits as its factorization.

101112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131656428 (or 131656414 counting only the distinct ones).

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

Adding to 101112122112 its reverse (211221211101), we get a palindrome (312333333213).

The spelling of 101112122112 in words is "one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".