2016122100 has 36 divisors (see below), whose sum is σ = 5833314144. Its totient is φ = 537632480.

The previous prime is 2016122057. The next prime is 2016122113. The reversal of 2016122100 is 12216102.

2016122100 is digitally balanced in base 4, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2016122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3359904 + ... + 3360503.

It is an arithmetic number, because the mean of its divisors is an integer number (162036504).

Almost surely, 2^2016122100 is an apocalyptic number.

2016122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2016122100 is an abundant number, since it is smaller than the sum of its proper divisors (3817192044).

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

2016122100 is a wasteful number, since it uses less digits than its factorization.

2016122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720424 (or 6720417 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2016122100 is about 44901.2483122686. The cubic root of 2016122100 is about 1263.2974225715.

Adding to 2016122100 its reverse (12216102), we get a palindrome (2028338202).

The spelling of 2016122100 in words is "two billion, sixteen million, one hundred twenty-two thousand, one hundred".