2010110101110 has 96 divisors (see below), whose sum is σ = 5368745745792. Its totient is φ = 521424656640.

The previous prime is 2010110101079. The next prime is 2010110101123. The reversal of 2010110101110 is 111010110102.

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 = 2010110101092 and 2010110101101.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15242355 + ... + 15373665.

It is an arithmetic number, because the mean of its divisors is an integer number (55924434852).

Almost surely, 2^{2010110101110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010110101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684372872896).

2010110101110 is an abundant number, since it is smaller than the sum of its proper divisors (3358635644682).

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

2010110101110 is a wasteful number, since it uses less digits than its factorization.

2010110101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135958 (or 135955 counting only the distinct ones).

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

Adding to 2010110101110 its reverse (111010110102), we get a palindrome (2121120211212).

The spelling of 2010110101110 in words is "two trillion, ten billion, one hundred ten million, one hundred one thousand, one hundred ten".