2014012100 has 108 divisors (see below), whose sum is σ = 4678252656. Its totient is φ = 752417280.

The previous prime is 2014012093. The next prime is 2014012163. The reversal of 2014012100 is 12104102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6560147 + ... + 6560453.

Almost surely, 2^2014012100 is an apocalyptic number.

2014012100 is a gapful number since it is divisible by the number (20) 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 2014012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339126328).

2014012100 is an abundant number, since it is smaller than the sum of its proper divisors (2664240556).

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

2014012100 is a wasteful number, since it uses less digits than its factorization.

2014012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2014012100 is about 44877.7461555279. The cubic root of 2014012100 is about 1262.8565617073.

Adding to 2014012100 its reverse (12104102), we get a palindrome (2026116202).

The spelling of 2014012100 in words is "two billion, fourteen million, twelve thousand, one hundred".