101112100101112 has 16 divisors (see below), whose sum is σ = 189619206288840. Its totient is φ = 50546978424096.

The previous prime is 101112100101097. The next prime is 101112100101139. The reversal of 101112100101112 is 211101001211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112100101092 and 101112100101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1133905938 + ... + 1133995105.

Almost surely, 2^{101112100101112} is an apocalyptic number.

It is an amenable number.

101112100101112 is a deficient number, since it is larger than the sum of its proper divisors (88507106187728).

101112100101112 is a wasteful number, since it uses less digits than its factorization.

101112100101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267906622 (or 2267906618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101112100101112 its reverse (211101001211101), we get a palindrome (312213101312213).

The spelling of 101112100101112 in words is "one hundred one trillion, one hundred twelve billion, one hundred million, one hundred one thousand, one hundred twelve".