2101342118400 has 2880 divisors, whose sum is σ = 9688651315200. Its totient is φ = 423930101760.

The previous prime is 2101342118339. The next prime is 2101342118401. The reversal of 2101342118400 is 48112431012.

2101342118400 is a `hidden beast` number, since 2 + 10 + 1 + 34 + 211 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (2101342118401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23610585556 + ... + 23610585644.

It is an arithmetic number, because the mean of its divisors is an integer number (3364115040).

Almost surely, 2^{2101342118400} is an apocalyptic number.

2101342118400 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 2101342118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844325657600).

2101342118400 is an abundant number, since it is smaller than the sum of its proper divisors (7587309196800).

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

2101342118400 is a wasteful number, since it uses less digits than its factorization.

2101342118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 2101342118400 its reverse (48112431012), we get a palindrome (2149454549412).

The spelling of 2101342118400 in words is "two trillion, one hundred one billion, three hundred forty-two million, one hundred eighteen thousand, four hundred".