2100042310410 has 256 divisors, whose sum is σ = 6199276032000. Its totient is φ = 501605395200.

The previous prime is 2100042310367. The next prime is 2100042310417. The reversal of 2100042310410 is 140132400012.

2100042310410 is a `hidden beast` number, since 21 + 0 + 0 + 0 + 4 + 231 + 0 + 410 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2100042310417) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 537505677 + ... + 537509583.

It is an arithmetic number, because the mean of its divisors is an integer number (24215922000).

Almost surely, 2^{2100042310410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100042310410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099638016000).

2100042310410 is an abundant number, since it is smaller than the sum of its proper divisors (4099233721590).

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

2100042310410 is a wasteful number, since it uses less digits than its factorization.

2100042310410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554 (or 6548 counting only the distinct ones).

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

Adding to 2100042310410 its reverse (140132400012), we get a palindrome (2240174710422).

The spelling of 2100042310410 in words is "two trillion, one hundred billion, forty-two million, three hundred ten thousand, four hundred ten".