2124420100 has 36 divisors (see below), whose sum is σ = 5029084368. Its totient is φ = 772516000.

The previous prime is 2124420091. The next prime is 2124420101. The reversal of 2124420100 is 10244212.

It is a super-2 number, since 2×2124420100² = 9026321522568020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2124420101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964546 + ... + 966745.

It is an arithmetic number, because the mean of its divisors is an integer number (139696788).

Almost surely, 2^2124420100 is an apocalyptic number.

2124420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124420100 is an abundant number, since it is smaller than the sum of its proper divisors (2904664268).

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

2124420100 is a wasteful number, since it uses less digits than its factorization.

2124420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931316 (or 1931309 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2124420100 is about 46091.4319586623. The cubic root of 2124420100 is about 1285.5238367526.

Adding to 2124420100 its reverse (10244212), we get a palindrome (2134664312).

It can be divided in two parts, 2124 and 420100, that added together give a palindrome (422224).

The spelling of 2124420100 in words is "two billion, one hundred twenty-four million, four hundred twenty thousand, one hundred".