101112012112 has 40 divisors (see below), whose sum is σ = 206573038400. Its totient is φ = 47812073472.

The previous prime is 101112012101. The next prime is 101112012119. The reversal of 101112012112 is 211210211101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101112012092 and 101112012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112012119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112812 + ... + 463627.

It is an arithmetic number, because the mean of its divisors is an integer number (5164325960).

Almost surely, 2^101112012112 is an apocalyptic number.

It is an amenable number.

101112012112 is an abundant number, since it is smaller than the sum of its proper divisors (105461026288).

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

101112012112 is a wasteful number, since it uses less digits than its factorization.

101112012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577043 (or 577037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112012112 its reverse (211210211101), we get a palindrome (312322223213).

The spelling of 101112012112 in words is "one hundred one billion, one hundred twelve million, twelve thousand, one hundred twelve".