2010110110001 has 24 divisors (see below), whose sum is σ = 2315006159424. Its totient is φ = 1709742958560.

The previous prime is 2010110109913. The next prime is 2010110110087. The reversal of 2010110110001 is 1000110110102.

It is a happy number.

It is not a de Polignac number, because 2010110110001 - 2¹⁸ = 2010109847857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2010110112001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110115791 + ... + 110134043.

It is an arithmetic number, because the mean of its divisors is an integer number (96458589976).

Almost surely, 2^{2010110110001} is an apocalyptic number.

It is an amenable number.

2010110110001 is a deficient number, since it is larger than the sum of its proper divisors (304896049423).

2010110110001 is an equidigital number, since it uses as much as digits as its factorization.

2010110110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19109 (or 18930 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2010110110001 its reverse (1000110110102), we get a palindrome (3010220220103).

It can be divided in two parts, 20101101 and 10001, that added together give a palindrome (20111102).

The spelling of 2010110110001 in words is "two trillion, ten billion, one hundred ten million, one hundred ten thousand, one".