2122440004100 has 72 divisors (see below), whose sum is σ = 4964755985280. Its totient is φ = 782915402880.

The previous prime is 2122440004043. The next prime is 2122440004207. The reversal of 2122440004100 is 14000442212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565019 + ... + 2136381.

It is an arithmetic number, because the mean of its divisors is an integer number (68954944240).

Almost surely, 2^{2122440004100} is an apocalyptic number.

2122440004100 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 2122440004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482377992640).

2122440004100 is an abundant number, since it is smaller than the sum of its proper divisors (2842315981180).

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

2122440004100 is a wasteful number, since it uses less digits than its factorization.

2122440004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572429 (or 1572422 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2122440004100 its reverse (14000442212), we get a palindrome (2136440446312).

The spelling of 2122440004100 in words is "two trillion, one hundred twenty-two billion, four hundred forty million, four thousand, one hundred".