2101410301300 has 72 divisors (see below), whose sum is σ = 4611945363480. Its totient is φ = 831002726400.

The previous prime is 2101410301241. The next prime is 2101410301313. The reversal of 2101410301300 is 31030141012.

It can be written as a sum of positive squares in 12 ways, for example, as 397711854736 + 1703698446564 = 630644^2 + 1305258^2 .

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 23 ways as a sum of consecutive naturals, for example, 91845462 + ... + 91868338.

It is an arithmetic number, because the mean of its divisors is an integer number (64054796715).

Almost surely, 2^{2101410301300} is an apocalyptic number.

2101410301300 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 2101410301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305972681740).

2101410301300 is an abundant number, since it is smaller than the sum of its proper divisors (2510535062180).

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

2101410301300 is a wasteful number, since it uses less digits than its factorization.

2101410301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33301 (or 33294 counting only the distinct ones).

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

Adding to 2101410301300 its reverse (31030141012), we get a palindrome (2132440442312).

The spelling of 2101410301300 in words is "two trillion, one hundred one billion, four hundred ten million, three hundred one thousand, three hundred".