2110110110010 has 192 divisors, whose sum is σ = 6318434453760. Its totient is φ = 478602639360.

The previous prime is 2110110109999. The next prime is 2110110110029. The reversal of 2110110110010 is 100110110112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2110110109974 and 2110110110001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42943336 + ... + 42992444.

It is an arithmetic number, because the mean of its divisors is an integer number (32908512780).

Almost surely, 2^{2110110110010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110110110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159217226880).

2110110110010 is an abundant number, since it is smaller than the sum of its proper divisors (4208324343750).

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

2110110110010 is a wasteful number, since it uses less digits than its factorization.

2110110110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49653 (or 49650 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2110110110010 its reverse (100110110112), we get a palindrome (2210220220122).

The spelling of 2110110110010 in words is "two trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, ten".