2121612100 has 72 divisors (see below), whose sum is σ = 4772694528. Its totient is φ = 817766400.

The previous prime is 2121612083. The next prime is 2121612107. The reversal of 2121612100 is 12161212.

It is not an unprimeable number, because it can be changed into a prime (2121612107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795369 + ... + 798031.

It is an arithmetic number, because the mean of its divisors is an integer number (66287424).

Almost surely, 2^2121612100 is an apocalyptic number.

2121612100 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 2121612100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386347264).

2121612100 is an abundant number, since it is smaller than the sum of its proper divisors (2651082428).

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

2121612100 is a wasteful number, since it uses less digits than its factorization.

2121612100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2121612100 is about 46060.9606934115. The cubic root of 2121612100 is about 1284.9571970178.

Adding to 2121612100 its reverse (12161212), we get a palindrome (2133773312).

The spelling of 2121612100 in words is "two billion, one hundred twenty-one million, six hundred twelve thousand, one hundred".