101001101112 has 48 divisors (see below), whose sum is σ = 274418654640. Its totient is φ = 33559463808.

The previous prime is 101001101101. The next prime is 101001101119. The reversal of 101001101112 is 211101100101.

101001101112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101001101094 and 101001101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001101119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2218348 + ... + 2263419.

It is an arithmetic number, because the mean of its divisors is an integer number (5717055305).

Almost surely, 2^101001101112 is an apocalyptic number.

101001101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001101112 is an abundant number, since it is smaller than the sum of its proper divisors (173417553528).

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

101001101112 is a wasteful number, since it uses less digits than its factorization.

101001101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482092 (or 4482085 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101001101112 its reverse (211101100101), we get a palindrome (312102201213).

The spelling of 101001101112 in words is "one hundred one billion, one million, one hundred one thousand, one hundred twelve".