2121310033110 has 192 divisors, whose sum is σ = 5579837153280. Its totient is φ = 559128303360.

The previous prime is 2121310033079. The next prime is 2121310033111. The reversal of 2121310033110 is 113300131212.

2121310033110 is a `hidden beast` number, since 2 + 1 + 21 + 310 + 0 + 331 + 1 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121310033111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2140574715 + ... + 2140575705.

It is an arithmetic number, because the mean of its divisors is an integer number (29061651840).

Almost surely, 2^{2121310033110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121310033110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789918576640).

2121310033110 is an abundant number, since it is smaller than the sum of its proper divisors (3458527120170).

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

2121310033110 is a wasteful number, since it uses less digits than its factorization.

2121310033110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2121310033110 its reverse (113300131212), we get a palindrome (2234610164322).

The spelling of 2121310033110 in words is "two trillion, one hundred twenty-one billion, three hundred ten million, thirty-three thousand, one hundred ten".