2124314100 has 90 divisors (see below), whose sum is σ = 6886213334. Its totient is φ = 566481600.

The previous prime is 2124314083. The next prime is 2124314117. The reversal of 2124314100 is 14134212.

2124314100 is a `hidden beast` number, since 212 + 43 + 1 + 410 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2124314083) and next prime (2124314117).

It can be written as a sum of positive squares in 3 ways, for example, as 287505936 + 1836808164 = 16956^2 + 42858^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 123031 + ... + 139230.

Almost surely, 2^2124314100 is an apocalyptic number.

2124314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124314100 is an abundant number, since it is smaller than the sum of its proper divisors (4761899234).

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

2124314100 is a wasteful number, since it uses less digits than its factorization.

2124314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262287 (or 262271 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2124314100 is about 46090.2820559823. The cubic root of 2124314100 is about 1285.5024555777.

Adding to 2124314100 its reverse (14134212), we get a palindrome (2138448312).

The spelling of 2124314100 in words is "two billion, one hundred twenty-four million, three hundred fourteen thousand, one hundred".