2121141322300 has 576 divisors, whose sum is σ = 6248206089216. Its totient is φ = 603600076800.

The previous prime is 2121141322271. The next prime is 2121141322379. The reversal of 2121141322300 is 32231411212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6294187732 + ... + 6294188068.

It is an arithmetic number, because the mean of its divisors is an integer number (10847580016).

Almost surely, 2^{2121141322300} is an apocalyptic number.

2121141322300 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 2121141322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124103044608).

2121141322300 is an abundant number, since it is smaller than the sum of its proper divisors (4127064766916).

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

2121141322300 is a wasteful number, since it uses less digits than its factorization.

2121141322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2121141322300 its reverse (32231411212), we get a palindrome (2153372733512).

The spelling of 2121141322300 in words is "two trillion, one hundred twenty-one billion, one hundred forty-one million, three hundred twenty-two thousand, three hundred".