101101100112 has 240 divisors, whose sum is σ = 305538480000. Its totient is φ = 31090999296.

The previous prime is 101101100083. The next prime is 101101100153. The reversal of 101101100112 is 211001101101.

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 = 101101100094 and 101101100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64849189 + ... + 64850747.

It is an arithmetic number, because the mean of its divisors is an integer number (1273077000).

Almost surely, 2^101101100112 is an apocalyptic number.

101101100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152769240000).

101101100112 is an abundant number, since it is smaller than the sum of its proper divisors (204437379888).

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

101101100112 is a wasteful number, since it uses less digits than its factorization.

101101100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2089 counting only the distinct ones).

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

Adding to 101101100112 its reverse (211001101101), we get a palindrome (312102201213).

The spelling of 101101100112 in words is "one hundred one billion, one hundred one million, one hundred thousand, one hundred twelve".