2124201023334 has 96 divisors (see below), whose sum is σ = 5008942096704. Its totient is φ = 646684508160.

The previous prime is 2124201023333. The next prime is 2124201023339. The reversal of 2124201023334 is 4333201024212.

2124201023334 is a `hidden beast` number, since 2 + 1 + 2 + 420 + 1 + 0 + 233 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2124201023298 and 2124201023307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124201023333) 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, 99656262 + ... + 99677574.

It is an arithmetic number, because the mean of its divisors is an integer number (52176480174).

Almost surely, 2^{2124201023334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124201023334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504471048352).

2124201023334 is an abundant number, since it is smaller than the sum of its proper divisors (2884741073370).

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

2124201023334 is a wasteful number, since it uses less digits than its factorization.

2124201023334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25822 (or 25819 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2124201023334 its reverse (4333201024212), we get a palindrome (6457402047546).

The spelling of 2124201023334 in words is "two trillion, one hundred twenty-four billion, two hundred one million, twenty-three thousand, three hundred thirty-four".