101120112200112 has 20 divisors (see below), whose sum is σ = 261226956517080. Its totient is φ = 33706704066688.

The previous prime is 101120112199979. The next prime is 101120112200147. The reversal of 101120112200112 is 211002211021101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101120112200091 and 101120112200100.

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, 1053334502037 + ... + 1053334502132.

It is an arithmetic number, because the mean of its divisors is an integer number (13061347825854).

Almost surely, 2^{101120112200112} is an apocalyptic number.

101120112200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120112200112 is an abundant number, since it is smaller than the sum of its proper divisors (160106844316968).

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

101120112200112 is a wasteful number, since it uses less digits than its factorization.

101120112200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106669004180 (or 2106669004174 counting only the distinct ones).

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

Adding to 101120112200112 its reverse (211002211021101), we get a palindrome (312122323221213).

The spelling of 101120112200112 in words is "one hundred one trillion, one hundred twenty billion, one hundred twelve million, two hundred thousand, one hundred twelve".