2110821712128 has 216 divisors, whose sum is σ = 6135082863000. Its totient is φ = 697947881472.

The previous prime is 2110821712093. The next prime is 2110821712211. The reversal of 2110821712128 is 8212171280112.

It can be written as a sum of positive squares in 4 ways, for example, as 294666580224 + 1816155131904 = 542832^2 + 1347648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2110821712092 and 2110821712101.

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, 284588676 + ... + 284596092.

Almost surely, 2^{2110821712128} 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 2110821712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067541431500).

2110821712128 is an abundant number, since it is smaller than the sum of its proper divisors (4024261150872).

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

2110821712128 is a wasteful number, since it uses less digits than its factorization.

2110821712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 2110821712128 in words is "two trillion, one hundred ten billion, eight hundred twenty-one million, seven hundred twelve thousand, one hundred twenty-eight".