2101340101300 has 288 divisors, whose sum is σ = 5272875014400. Its totient is φ = 719424921600.

The previous prime is 2101340101271. The next prime is 2101340101327. The reversal of 2101340101300 is 31010431012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425973634 + ... + 425978566.

It is an arithmetic number, because the mean of its divisors is an integer number (18308593800).

Almost surely, 2^{2101340101300} is an apocalyptic number.

2101340101300 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 2101340101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636437507200).

2101340101300 is an abundant number, since it is smaller than the sum of its proper divisors (3171534913100).

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

2101340101300 is a wasteful number, since it uses less digits than its factorization.

2101340101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5243 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2101340101300 its reverse (31010431012), we get a palindrome (2132350532312).

The spelling of 2101340101300 in words is "two trillion, one hundred one billion, three hundred forty million, one hundred one thousand, three hundred".