2120105616216 has 128 divisors (see below), whose sum is σ = 6126361313280. Its totient is φ = 598872237696.

The previous prime is 2120105616169. The next prime is 2120105616221. The reversal of 2120105616216 is 6126165010212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10402605 + ... + 10604451.

It is an arithmetic number, because the mean of its divisors is an integer number (47862197760).

Almost surely, 2^{2120105616216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120105616216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063180656640).

2120105616216 is an abundant number, since it is smaller than the sum of its proper divisors (4006255697064).

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

2120105616216 is a wasteful number, since it uses less digits than its factorization.

2120105616216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202573 (or 202569 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 2120105616216 in words is "two trillion, one hundred twenty billion, one hundred five million, six hundred sixteen thousand, two hundred sixteen".