2110012122416 has 160 divisors (see below), whose sum is σ = 4658896008000. Its totient is φ = 916968407040.

The previous prime is 2110012122409. The next prime is 2110012122467. The reversal of 2110012122416 is 6142212100112.

It is a junction number, because it is equal to n+sod(n) for n = 2110012122391 and 2110012122400.

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, 256283036 + ... + 256291268.

It is an arithmetic number, because the mean of its divisors is an integer number (29118100050).

Almost surely, 2^{2110012122416} 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 2110012122416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329448004000).

2110012122416 is an abundant number, since it is smaller than the sum of its proper divisors (2548883885584).

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

2110012122416 is a wasteful number, since it uses less digits than its factorization.

2110012122416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8767 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 2110012122416 its reverse (6142212100112), we get a palindrome (8252224222528).

The spelling of 2110012122416 in words is "two trillion, one hundred ten billion, twelve million, one hundred twenty-two thousand, four hundred sixteen".