2110071610000 has 200 divisors, whose sum is σ = 5294004376320. Its totient is φ = 813513792000.

The previous prime is 2110071609983. The next prime is 2110071610001. The reversal of 2110071610000 is 161700112.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 2110071610000.

It is not an unprimeable number, because it can be changed into a prime (2110071610001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176024007 + ... + 176035993.

Almost surely, 2^{2110071610000} is an apocalyptic number.

2110071610000 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 2110071610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647002188160).

2110071610000 is an abundant number, since it is smaller than the sum of its proper divisors (3183932766320).

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

2110071610000 is a wasteful number, since it uses less digits than its factorization.

2110071610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12651 (or 12630 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The spelling of 2110071610000 in words is "two trillion, one hundred ten billion, seventy-one million, six hundred ten thousand".