2010110110101 has 12 divisors (see below), whose sum is σ = 2981965148812. Its totient is φ = 1303855206336.

The previous prime is 2010110110087. The next prime is 2010110110117. The reversal of 2010110110101 is 1010110110102.

It can be written as a sum of positive squares in 2 ways, for example, as 1561565139876 + 448544970225 = 1249626^2 + 669735^2 .

It is not a de Polignac number, because 2010110110101 - 2⁹ = 2010110109589 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010110130101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3018183016 + ... + 3018183681.

Almost surely, 2^{2010110110101} is an apocalyptic number.

It is an amenable number.

2010110110101 is a deficient number, since it is larger than the sum of its proper divisors (971855038711).

2010110110101 is a wasteful number, since it uses less digits than its factorization.

2010110110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036366740 (or 6036366737 counting only the distinct ones).

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

Adding to 2010110110101 its reverse (1010110110102), we get a palindrome (3020220220203).

Subtracting from 2010110110101 its reverse (1010110110102), we obtain a palindrome (999999999999).

The spelling of 2010110110101 in words is "two trillion, ten billion, one hundred ten million, one hundred ten thousand, one hundred one".