2101320144000 has 1536 divisors, whose sum is σ = 9758307686400. Its totient is φ = 436575744000.

The previous prime is 2101320143983. The next prime is 2101320144043. The reversal of 2101320144000 is 4410231012.

2101320144000 is a `hidden beast` number, since 2 + 10 + 13 + 201 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 299372491 + ... + 299379509.

It is an arithmetic number, because the mean of its divisors is an integer number (6353064900).

Almost surely, 2^{2101320144000} is an apocalyptic number.

2101320144000 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 2101320144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879153843200).

2101320144000 is an abundant number, since it is smaller than the sum of its proper divisors (7656987542400).

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

2101320144000 is an equidigital number, since it uses as much as digits as its factorization.

2101320144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7081 (or 7047 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2101320144000 its reverse (4410231012), we get a palindrome (2105730375012).

The spelling of 2101320144000 in words is "two trillion, one hundred one billion, three hundred twenty million, one hundred forty-four thousand".