101112110020 has 12 divisors (see below), whose sum is σ = 212335431084. Its totient is φ = 40444844000.

The previous prime is 101112109963. The next prime is 101112110027. The reversal of 101112110020 is 20011211101.

101112110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43038821764 + 58073288256 = 207458^2 + 240984^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101112109979 and 101112110006.

It is not an unprimeable number, because it can be changed into a prime (101112110027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2527802731 + ... + 2527802770.

It is an arithmetic number, because the mean of its divisors is an integer number (17694619257).

Almost surely, 2^101112110020 is an apocalyptic number.

101112110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112110020 is an abundant number, since it is smaller than the sum of its proper divisors (111223321064).

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

101112110020 is a wasteful number, since it uses less digits than its factorization.

101112110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055605510 (or 5055605508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101112110020 its reverse (20011211101), we get a palindrome (121123321121).

The spelling of 101112110020 in words is "one hundred one billion, one hundred twelve million, one hundred ten thousand, twenty".