2124123100 has 144 divisors (see below), whose sum is σ = 5235664896. Its totient is φ = 741024000.

The previous prime is 2124123097. The next prime is 2124123101. The reversal of 2124123100 is 13214212.

It is a super-2 number, since 2×2124123100² = 9023797887907220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124123101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5694514 + ... + 5694886.

It is an arithmetic number, because the mean of its divisors is an integer number (36358784).

Almost surely, 2^2124123100 is an apocalyptic number.

2124123100 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 2124123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617832448).

2124123100 is an abundant number, since it is smaller than the sum of its proper divisors (3111541796).

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

2124123100 is a wasteful number, since it uses less digits than its factorization.

2124123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2124123100 is about 46088.2099891068. The cubic root of 2124123100 is about 1285.4639273255.

Adding to 2124123100 its reverse (13214212), we get a palindrome (2137337312).

It can be divided in two parts, 212412 and 3100, that added together give a palindrome (215512).

The spelling of 2124123100 in words is "two billion, one hundred twenty-four million, one hundred twenty-three thousand, one hundred".