2101100112 has 60 divisors (see below), whose sum is σ = 6082938420. Its totient is φ = 676214784.

The previous prime is 2101100077. The next prime is 2101100119. The reversal of 2101100112 is 2110011012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 905047056 + 1196053056 = 30084^2 + 34584^2 .

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 = 2101100094 and 2101100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101100119) 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 11 ways as a sum of consecutive naturals, for example, 247393 + ... + 255744.

It is an arithmetic number, because the mean of its divisors is an integer number (101382307).

Almost surely, 2^2101100112 is an apocalyptic number.

It is an amenable number.

2101100112 is an abundant number, since it is smaller than the sum of its proper divisors (3981838308).

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

2101100112 is a wasteful number, since it uses less digits than its factorization.

2101100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503180 (or 503171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2101100112 is about 45837.7585839447. The cubic root of 2101100112 is about 1280.8027419042.

Adding to 2101100112 its reverse (2110011012), we get a palindrome (4211111124).

The spelling of 2101100112 in words is "two billion, one hundred one million, one hundred thousand, one hundred twelve".