2010110100111 has 24 divisors (see below), whose sum is σ = 2988405892160. Its totient is φ = 1301038998336.

The previous prime is 2010110100109. The next prime is 2010110100143. The reversal of 2010110100111 is 1110010110102.

It is not a de Polignac number, because 2010110100111 - 2¹ = 2010110100109 is a prime.

It is a super-2 number, since 2×2010110100111² (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010110100093 and 2010110100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010110100211) 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, 6364576 + ... + 6672933.

Almost surely, 2^{2010110100111} is an apocalyptic number.

2010110100111 is a deficient number, since it is larger than the sum of its proper divisors (978295792049).

2010110100111 is a wasteful number, since it uses less digits than its factorization.

2010110100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13038015 (or 13038012 counting only the distinct ones).

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

Adding to 2010110100111 its reverse (1110010110102), we get a palindrome (3120120210213).

Subtracting from 2010110100111 its reverse (1110010110102), we obtain a palindrome (900099990009).

The spelling of 2010110100111 in words is "two trillion, ten billion, one hundred ten million, one hundred thousand, one hundred eleven".