2130100112 has 80 divisors (see below), whose sum is σ = 4915935360. Its totient is φ = 874804224.

The previous prime is 2130100111. The next prime is 2130100121. The reversal of 2130100112 is 2110010312.

It is a junction number, because it is equal to n+sod(n) for n = 2130100093 and 2130100102.

It is not an unprimeable number, because it can be changed into a prime (2130100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442583 + ... + 447369.

It is an arithmetic number, because the mean of its divisors is an integer number (61449192).

Almost surely, 2^2130100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457967680).

2130100112 is an abundant number, since it is smaller than the sum of its proper divisors (2785835248).

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

2130100112 is a wasteful number, since it uses less digits than its factorization.

2130100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2130100112 is about 46153.0076159723. The cubic root of 2130100112 is about 1286.6685088015.

Adding to 2130100112 its reverse (2110010312), we get a palindrome (4240110424).

The spelling of 2130100112 in words is "two billion, one hundred thirty million, one hundred thousand, one hundred twelve".